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Computational Number Theory.- On the Dimension and the Number of Parameters of a Unirational Variety.- On Elements of High Order in Finite Fields.- Counting the Number of Points on Affine Diagonal Curves.- Small Values of the Carmichael Function and Cryptographic Applications.- Density Estimates Related to Gauss Periods.- Distribution of the Coefficients of Primitive Polynomials over Finite Fields.- The Distribution of the Quadratic Symbol in Function Fields and a Faster Mathematical Stream Cipher.- Rational Groups of Elliptic Curves Suitable for Cryptography.- Effective Determination of the Proportion of Split Primes in Number Fields.- Algorithms for Generating, Testing and Proving Primes: A Survey.- Elliptic Curve Factorization Using a "Partially Oblivious" Function.- The Hermite-Serret Algorithm and 122 + 332.- Applications of Algebraic Curves to Constructions of Sequences.- Cryptography.- Designated 2-Verifier Proofs and their Application to Electronic Commerce.- Divide and Conquer Attacks on Certain Irregularly Clocked Stream Ciphers.- New Results on the Randomness of Visual Cryptography Schemes.- Authentication - Myths and Misconceptions.- A Survey of Bit-security and Hard Core Functions.- On the Security of Diffie-Hellman Bits.- Polynomial Rings and Efficient Public Key Authentication II.- Security of Biased Sources for Cryptographic Keys.- Achieving Optimal Fairness from Biased Coinflips.- The Dark Side of the Hidden Number Problem: Lattice Attacks on DSA.- Distribution of Modular Sums and the Security of the Server Aided Exponentiation.- A General Construction for Fail-Stop Signatures using Authentication Codes.- Robust Additive Secret Sharing Schemes over Zm.- RSA Public Key Validation.

Well-posedness of Semilinear Heat Equations with Iterated Logarithms.- Uniform Stability of Nonlinear Thermoelastic Plates with Free Boundary Conditions.- Exponential Bases in Sobolev Spaces in Control and Observation Problems.- Sampling and Interpolation of Functions with Multi-Band Spectra and Controllability Problems.- Discretization of the Controllability Grammian in View of Exact Boundary Control: the Case of Thin Plates.- Stability of Holomorphic Semigroup Systems under Nonlinear Boundary Perturbations.- Shape Control in Hyperbolic Problems.- Second Order Optimality Conditions for Some Control Problems of Semilinear Elliptic Equations with Integral State Constraints.- Intrinsic P(2, 1) Thin Shell Models and Naghdi's Models without A Priori Assumption on the Stress Tensor.- On the Approximate Controllability for some Explosive Parabolic Problems.- Fréchet-Differentiability and Sufficient Optimality Conditions for Shape Functionals.- State Constrained Optimal Control for some Quasilinear Parabolic Equations.- Controllability property for the Navier-Stokes equations.- Shape Sensitivity and Large Deformation of the Domain for Norton-Hoff Flows.- On a Distributed Control Law with an Application to the Control of Unsteady Flow around a Cylinder.- Homogenization of a Model Describing Vibration of Nonlinear Thin Plates Excited by Piezopatches.- Stabilization of the Dynamic System of Elasticity by Nonlinear Boundary Feedback.- Griffith Formula and Rice-Cherepanov's Integral for Elliptic Equations with Unilateral Conditions in Nonsmooth Domains.- A Domain Optimization Problem for a Nonlinear Thermoelastic System.- Approximate Controllability for a Hydro-Elastic Model in a Rectangular Domain.- Noncooperative Games with Elliptic Systems.- Incomplete Indefinite Decompositions as Multigrid Smoothers for KKT Systems.- Domain Optimization for the Navier-Stokes Equations by an Embedding Domain Method.- On the Approximation and Optimization of Fourth Order Elliptic Systems.- On the Existence and Approximation of Solutions for the Optimal Control of Nonlinear Hyperbolic Conservation Laws.- Identification of Memory Kernels in Heat Conduction and Viscoelasticity.- Variational Formulation for Incompressible Euler Equation by Weak Shape Evolution.

Device Simulation and Applications.- Hydrodynamical Model for GaAs Semiconductors Based on the Maximum Entropy Principle with Application to Electronic Devices.- Modeling and Simulation of Electro-Quasistatic Fields.- Radio Frequency Integrated Circuit System Design for UMTS Terminal Receivers.- Finite-element Discretizations of Semiconductor Energy-transport Equations.- Circuit Simulation and DAE's.- An Embedding Approach for the Simulation of Electronic Circuits with Widely Seperated Time Scales.- Actual Problems of Circuit Simulation in Industry.- Periodic Steady State Computation with the Poincaré-map Method.- Periodic AC and Periodic Noise in RF Simulation for Electronic Circuit Design.- Differential Algebraic Systems with Properly Stated Leading Term and MNA Equations.- A Parallel Finite Difference Method for Multirate Partial Differential Algebraic Equations.- Feasibility Regions and their Significance to the Hierarchical Optimization of Analog and Mixed-Signal Systems.- Coupling of Devices and Circuits.- Modeling and Discretization of a Thermal-Electric Test Circuit.- A Refined PDAE Network Model for a CMOS Ring Oscillator.- Parasitics Reduction for Analog Circuit Simulation.- Modeling Circuit Systems Coupled with Distributed Semiconductor Equations.- Circuits with Stochastic Sources.- Transient Noise Simulation: Modeling and Simulation of 1/ f-Noise.- Noise Analysis of Nonlinear Electrical Circuits and Devices.- On Parametric Test Design for Analog Integrated Circuits considering Error in Measurement and Stimulus.- Stochastic DAEs in Circuit Simulation.- Advanced Mathematical Tools.- An Efficient Way to Avoid the Order Reduction of Linearly Implicit Runge-Kutta Methods for Nonlinear IBVP's.- Solution of Linear Systems with Sparse Matrices.- The Performances of the Code TOM on the Holt Problem.

Some extremum and unilateral boundary value problems in viscous hydrodynamics.- On axisymmetric motion of the fluid with a free surface.- On the occurrence of singularities in axisymmetrical problems of hele-shaw type.- New asymptotic method for solving of mixed boundary value problems.- Some results on the thermistor problem.- New applications of energy methods to parabolic and elliptic free boundary problems.- A localized finite element method for nonlinear water wave problems.- Approximate method of investigation of normal oscillations of viscous incompressible liquid in container.- The classical Stefan problem as the limit case of the Stefan problem with a kinetic condition at the free boundary.- A mathematical model of oscillations energy dissipation of viscous liquid in a tank.- Existence of the classical solution of a two-phase multidimensional Stefan problem on any finite time interval.- Asymptotic theory of propagation of nonstationary surface and internal waves over uneven bottom.- Multiparametric problems of two-dimensional free boundary seepage.- Nonisothermal two-phase filtration in porous media.- Explicit solution of time-dependent free boundary problems.- Nonequilibrium phase transitions in frozen grounds.- System of variational inequalities arising in nonlinear diffusion with phase change.- Contact viscoelastoplastic problem for a beam.- Application of a finite-element method to two-dimensional contact problems.- Computations of a gas bubble motion in liquid.- Waves on the liquid-gas free surface in the presence of the acoustic field in gas.- Smooth bore in a two-layer fluid.- Numerical calculation of movable free and contact boundaries in problems of dynamic deformation of viscoelastic bodies.- On the canonical variables for two-dimensional vortex hydrodynamics of incompressible fluid.- About the method with regularization for solving the contact problem in elasticity.- Space evolution of tornado-like vortex core.- Optimal shape design for parabolic system and two-phase Stefan problem.- Incompressible fluid flows with free boundary and the methods for their research.- On the Stefan problems for the system of equations arising in the modelling of liquid-phase epitaxy processes.- Stefan problem with surface tension as a limit of the phase field model.- The modelization of transformation phase via the resolution of an inclusion problem with moving boundary.- To the problem of constructing weak solutions in dynamic elastoplasticity.- The justification of the conjugate conditions for the Euler's and Darcy's equations.- On an evolution problem of thermo-capillary convection.- Front tracking methods for one-dimensional moving boundary problems.- On Cauchy problem for long wave equations.- On fixed point (trial) methods for free boundary problems.- Nonlinear theory of dynamics of a viscous fluid with a free boundary in the process of a solid body wetting.

Cholinergic and noncholinergic parasympathetic control of airway smooth muscle.- Role of non-neuronal and neuronal acetylcholine in the airways.- Identification, localization and function of muscarinic receptor subtypes in the airways.- Functional roles of postjunctional muscarinic M2 receptors in airway smooth muscle.- Dysfunction of prejunctional muscarinic M2 receptors: role of environmental factors.- Muscarinic receptor-?-adrenoceptor cross-talk in airway smooth muscle.- Gene regulation of muscarinic receptor subtypes.- Muscarinic control of airway mucus secretion.- The role of anticholinergics in asthma and COPD.- Novel perspectives in anticholinergic therapy.

Factors affecting blood levels of vitamin A.- Enzymology and biogenesis of retinoic acid.- Requirements and safety of vitamin A in humans.- Current views on carotenoids: biology, epidemiology and trials.- The role of vitamin A in visual transduction.- The role and evolutionary development of retinoic-acid signalling in the eye.- Vitamin A, retinoids and immune responses.- Vitamin A and infectious diseases.- Retinoid metabolism in the embryo.- Physiologically-based pharmacokinetic scaling in retinoid developmental toxicity.- Retinoic acid receptors in normal and neoplastic haematopoietic cells.- Modulation of nuclear vitamin D signalling by retinoids.- Pharmacology and molecular mechanisms of retinoid action in skin.- Synthetic retinoids and their usefulness in biology and medicine.- Proposed role of gap junctional communication in retinoid-induced suppression of proliferation and inhibition of neoplastic transformation.- Effects of all-trans retinoic acid and 13-cis retinoic acid on breast cancer cell lines.- Retinoids and interferons: combination studies in human cancer.- Treatment of acute promyelocytic leukemia with all-trans retinoic acid.- Bioactivities of N-(4-hydroxyphenyl) retinamide.- Therapeutic uses of retinoids in skin diseases.- Retinoid treatment of photoaged skin.- Therapeutic uses of retinoic acid receptor antagonists and inverse agonists.

This monograph provides a rigorous, encyclopedic treatment of the fundamental topics in real analysis, functional analysis, and measure theory. The result of many years of the author's careful and extensive work, this text synthesizes and builds upon the existing literature in an effort to develop and solidify the theory of measure-theoretic calculus in abstract spaces. Standard results and proofs are illustrated in general abstract settings under rigorous treatment, and numerous ancillary topics are also covered in detail, such as functional analytic treatment of optimization, probability theory, and the theory of Sobolev spaces. Applied mathematicians and researchers working in control theory, operations research, economics, optimization theory, and many other areas will find this text to be a comprehensive and invaluable resource. It can also serve as an analysis textbook for graduate-level students.

A good side to non-reflexive transformations.- On skew Toeplitz operators, II.- Regularity questions for free convolution.- Operators of Putinar type.- Flat extensions of positive moment matrices: Relations in analytic or conjugate terms.- Geometric invariants for resolutions of Hilbert modules.- Some multplicities for contractions with Hilbert-Schmidt defect.- Strong limits of similarities.- LP multipliers and nested Sigma-algebras.- On isometric intertwining liftings.- The predual of a type I Von Neumann algebra.- The canonical complex structure of flag manifolds in a C* -algebra.- An algebraic characterization of boundary representations.- Joint spectrum and nonisometric functional calculus.

0 Introduction.- 1 Auxiliary Results.- 2 Maximization of Functionals in H? [a, b] and Perfect ?-Splines.- 3 Fredholm Kernels.- 4 Review of Classical Chebyshev Polynomial Splines.- 5 Additive Kolmogorov-Landau Inequalities.- 6 Proof of the Main Result.- 7 Properties of Chebyshev ?-Splines.- 8 Chebyshev ?-Splines on the Half-line ?+.- 9 Maximization of Integral Functional in H?[a1, a2], -? ? a1

1. Prevention and Early Detection of Lung Cancer - Clinical Aspects.- 2. Smoking Prevention and Cessation.- 3. Clinical Pharmacology of Vitamin A and Retinoids.- 4. Early Lung Cancer Detection.- 5. Molecular Abnormalities in the Sequential Development of Lung Carcinoma.- 6. Application of In Situ PCR and In Situ Hybridization to the Characterization of Lung Cancers.- 7. Tumor Stroma Formation in Lung Cancer.- 8. Tumor Angiogenesis: Basis for New Prognostic Factors and New Anticancer Therapies.- 9. Cell Cycle Regulators and Mechanisms of Growth Control Evasion in Lung Cancer.- 10. Molecular Genetics of Lung Cancer.- 11. Neuropeptides, Signal Transduction and Small Cell Lung Cancer.- 12. In Vitro Analysis of Bombesin/Gastrin-Releasing Peptide Receptor (bb2) Ligand Binding and G-Protein Coupling.- 13. DNA Methylation Changes in Lung Cancer.- 14. K-ras Mutations as Molecular Markers of Lung Cancer.- 15. Sheep Lung Adenomatosis: A Model of Virally Induced Lung Cancer.- 16. Retinoic Acid Receptor ß An Exploration of its Role in Lung Cancer Suppression and its Potential in Cancer Prevention.- 17. Cytochrome P450 Polymorphisms: Risk Factors for Lung Cancer?.- 18. Glutathione S-Transferases and Lung Cancer Risk.- 19. The p53 Tumor Suppressor Gene in Lung Cancer: From Molecular to Serological Diagnosis.- 20. Endoscopic Localization of Preneoplastic Lung Lesions.- 21. Antigen Retrieval Improves hnRNP A2/B1 Immunohisto-chemical Localization in Premalignant Lesions of the Lung.- 22. Molecular Pathological Mechanisms in NSCLC and the Assessment of Individuals with a High Risk of Developing Lung Cancer.- 23. Chemoprevention of Lung Cancer.- 24. Regional Delivery of Retinoids: A New Approach to Early Lung Cancer Intervention.- 25. Natural Inhibitors of Carcinogenesis.- 26. Gene Delivery to Airways.- 27. Lung Cancer Prevention: The Point of View of a Public Health Epidemiologist.- 28. Biomarkers as Intermediate Endpoints in Chemoprevention Trials: Biological Basis of Lung Cancer Prevention.- 29. Biological Tools for Mass Screening.- 30. Optimization of the Use of Biological Samples for the Prospective Evaluation of Preneoplastic Lesions.

On the Convexification of Optimal Control Problems of Flight Dynamics.- Restricted Optimal Transportation Flows.- Relaxation Gaps in Optimal Control Processes with State Constraints.- Optimal Shape Design for Elliptic Hemivariational Inequalities in Nonlinear Elasticity.- A Discretization for Control Problems with optimality test.- Smooth and Nonsmooth Optimal Lipschitz Control - a Model Problem.- Suboptimality Theorems in Optimal Control.- A Second Order Sufficient Condition for Optimality in Nonlinear Control - the Conjugate Point Approach.- Extremal Problems for Elliptic Systems.- Existence Results for Some Nonconvex Optimization Problems Governed by Nonlinear Processes.- Multiobjective Optimal Control Problems.- Existence Principles and the Theory of Extremal Problems.- Hamilton-Jacobi-Bellman Equations and Optimal Control.- Output Target Control and Uncertain Infinite-Dimensional Systems.- Sensitivity Analysis of Stiff and Non-stiff Initial-value Problems.- Algorithm of Real-Time Minimization of Control Norm for Incompletely Determined Linear Control Systems.- Set-valued Calculus and Dynamic Programming in Problems of Feedback Control.- Strong Observability of Time-dependent Linear Systems.- Sensitivity Analysis and Real-Time Control of Nonlinear Optimal Control Systems via Nonlinear Programming Methods.- Accelerating Multiple Shooting for State-constrained Trajectory Optimization Problems.- SQP Methods and their Application to Numerical Optimal Control.- Predictor-Corrector Continuation Method for Optimal Control Problems.- Time Invariant Global Stabilization of a Mobile Robot.- Competitive Running on a Hilly Track.- Convex Domains of Given Diameter with Greatest Volume.- Isoperimetric and Isodiametric Area-minimal Plane Convex Figures.- Minimizing the Noise of an Aircraft during Landing Approach.- Real-Time Computation of Strategies of Differential Games with Applications to Collision Avoidance.- The Use of Screening for the Control of an Endemic Disease.- Optimal Control of Sloshing Liquids.- Free Surface Waves in a Wave Tank.- Efficient Convexification of Flight Path Optimization Problems.- Determining the Controllability Region for the Re-entry of an Apollo-type Spacecraft.

Essay on Bernd Silbermann.- Publications of Bernd Silbermann.- Toeplitz Corona Problem for Algebras of Almost Periodic Functions.- Sums of Idempotents in the Banach Algebra Generated by the Compact Operators and the Identity.- Asymptotic Formulas for the Determinants of Symmetric Toeplitz plus Hankel Matrices.- On the Determinant Formulas by Borodin, Okounkov, Baik, Deift and Rains.- On the Distance of a Large Toeplitz Band Matrix to the Nearest Singular Matrix.- Singular Integral Equations on Piecewise Smooth Curves in Spaces of Smooth Functions.- Spline Approximation Methods for the Biharmonic Dirichlet Problem on Non-smooth Domains.- On Rank Invariance of Schwarz-Pick-Potapov Block Matrices of Matrix-valued Carathéodory Functions.- Finite Section Method for Linear Ordinary Differential Equations Revisited.- Fast Algorithms for Skewsymmetric Toeplitz Matrices.- On Collocation Methods for Nonlinear Cauchy Singular Integral Equations.- Local method for nonlocal operators on Banach spaces.- Numerical Solution of Mellin Type Equations via Wiener-Hopf Equations.- A 1-parameter Scale of Closed Ideals Formed by Strictly Singular Operators.- Local Theory of the Fredholmness of Band-dominated Operators with Slowly Oscillating Coefficients.- More Inequalities and Asymptotics for Matrix Valued Linear Positive Operators: the Noncommutative Case.- Toeplitz Determinants, Random Matrices and Random Permutations.

Introduction, Global Perspectives and History of Immunosuppression.- Immunosuppressive Drugs.- Cyclosporine: Role of Pharmacokinetics.- Tacrolimus.- The Potential Role of Immunosuppressive Macrocyclic Lactones.- Inosine Monophosphate Dehydrogenase Inhibition: Mycophenolate Mofetil.- Biologicals.- Therapeutic Anti-T-cell Monoclonal Antibodies.- Targeting the IL-2 Receptor with Antibodies or Chimeric Toxins.- New Avenues in Immunosuppression.- Emerging Therapeutic Strategies for the Prevention and Treatment of Chronic Allograft Rejection.- Tolerance Induction.- Gene Therapy Approaches to Immunosuppression.- Perspectives.- A rigorous approach to the diagnosis of synergy among combination therapies of immunosuppressive agents.- Lessons for transplantation of cyclosporine experience in the treatment of autoimmune diseases.

1 - Algebraic Preamble.- Groups, Rings and Fields.- Permutation Groups.- Problems 1.- 2 - Vector Spaces and Linear Maps.- Vector Spaces and Algebras.- Bases and Dimension.- Linear Maps.- Direct Sums.- Addendum - Modules.- Problems 2.- 3 - Matrices, Determinants and Linear Equations.- Matrices.- Determinants.- Systems of Linear Equations.- Problems 3.- 4 - Cayley-Hamilton Theorem and Jordan Form.- Polynomials.- Cayley-Hamilton and Spectral Theorems.- Jordan Form.- Problems 4.- 5 - Interlude on Finite Fields.- Finite Fields.- Applications - Linear Codes and Finite Matrix Groups.- Problems 5.- 6 - Hermitian and Inner Product Spaces.- Hermitian and Inner Products, and Norms.- Unitary and Self-adjoint Maps.- Orthogonal and Symmetric Maps.- Problems 6.- 7 - Selected Topics.- The Geometry of Real Quadratic Forms.- Normed Algebras, Quaternions and Cayley Numbers.- to the Representation of Finite Groups.- Problems 7.- Appendix A - Set Theory.- Sets and Maps.- Problems A.- Appendix B - Answers and Solutions to the Problems.- Notation Index.- Definition Index.- Theorem Index.

Semi-Infinite Geometry is a theory of "doubly infinite-dimensional" geometric or topological objects. In this book the author explains what should be meant by an algebraic variety of semi-infinite nature. Then he applies the framework of semiderived categories, suggested in his previous monograph titled Homological Algebra of Semimodules and Semicontramodules, (Birkhäuser, 2010), to the study of semi-infinite algebraic varieties. Quasi-coherent torsion sheaves and flat pro-quasi-coherent pro-sheaves on ind-schemes are discussed at length in this book, making it suitable for use as an introduction to the theory of quasi-coherent sheaves on ind-schemes. The main output of the homological theory developed in this monograph is the functor of semitensor product on the semiderived category of quasi-coherent torsion sheaves, endowing the semiderived category with the structure of a tensor triangulated category. The author offers two equivalent constructions of the semitensor product, as well as its particular case, the cotensor product, and shows that they enjoy good invariance properties. Several geometric examples are discussed in detail in the book, including the cotangent bundle to an infinite-dimensional projective space, the universal fibration of quadratic cones, and the important popular example of the loop group of an affine algebraic group.

Parallelizable Methods for Modeling Flow and Transport in Heterogeneous Porous Media.- A Multifractal Analysis of Dispersion During Miscible Flow in Porous Media.- Homogenization in a Perforated Domain Including a Thin Full Interlayer.- Indirect Determination of Hydraulic Properties of Porous Media.- Reactive Flows in Porous Media: The Reaction-Infiltration Instability.- A Study of the Effect of Inhomogeneities on Immiscible Flow in Naturally Fractured Reservoirs.- A Massively Parallel Iterative Numerical Algorithm for Immiscible Flow in Naturally Fractured Reservoirs.- Two-Dimensional Solute Transport.- Multiphase Saturation Equations, Change of Type and Inaccessible Regions.- A Central Limit Theorem for Multiscaled Permeability.- Front Tracking for the Unstable Hele-Shaw and Muskat Problems.- Regularity and Uniqueness Results for Two-Phase Miscible Flows in Porous Media.- Distributed Microstructure Models of Porous Media.- Multidimensional Degenerate Diffusion Problem with Evolutionary Boundary Condition: Existence, Uniqueness, and Approximation.

Recent advances in immunosuppressants.- Present status of hepatoprotectants.- The 5-HT1A receptor and its ligands: structure and function.- U-50,488 and the K receptor: a personalized account covering the period 1973-1990.- Protease inhibitors as potential antiviral agents for the treatment of picornaviral infections.- Index Vol. 52.- Index of titles, Vol. 1-52.- Author and paper index, Vol. 1-52.

On Certain (Nearly) Convex Joint Numerical Ranges.- The Two-Sided Nevanlinna-Pick Problem in the Stieltjes Class.- State Space Formulas for Coprime Factorizations.- Generalization of Heinz-Kato Theorem via Furuta Inequality.- The Band Method for Bordered Algebras.- Lp-Distance Between Unitary Orbits in Type III? Factors.- Finite Dimensional Solution Sets of Extremal Problems in H1.- Factorization of Operators with Angularly Constrained Spectra.- On the Coefficients of Riemann Mappings on the Unit Disk into Itself.- Weak-Star Limits of Polynomials and their Derivatives.- Hausdorff Dimension of Some Fractals and Perron-Frobenius Theory.- Operators Which have Commutative Polar Decompositions.- Trace Formula for the Perturbation of Partial Differential Operator and Cyclic Cocycle on a Generalized Heisenberg Group.

The tangential trigonometric moment problem on an interval and related topics.- 1. Introduction.- 2. Some lemmas on matrix-valued rational functions.- 3. The main result.- 4. The Nevanlinna-Pick problem.- References.- Maximum entropy and joint norm bounds for operator extensions.- 1. Introduction.- 2. A sharp bound in the 2×2 case.- 3. The maximum entropy method.- 4. An application to integral operators.- References.- Bitangential interpolation for input-output operators of time varying systems: the discrete time case.- 0. Introduction.- 1. Residue calculus and generalized point evaluation.- 2. Pairs of diagonal operators and homogeneous one-sided interpolation.- 3. Bitangential interpolation data set.- 4. Bitangential interpolation in geometric terms.- 5. Intermezzo about admissible Sylvester data sets.- 6. Construction of a particular solution.- 7. Parametrization of all solutions (without norm constraints).- 8. Input-output operators of time-varying systems.- 9. Parametrization of all contractive input-output operators satisfying the bitangential interpolation conditions.- References.- Two-sided tangential interpolation of real rational matrix functions.- 1. Introduction.- 2. Minimal realizations.- 3. Local data.- 4. Two-sided tangential interpolation: existence of real interpolants.- 5. Two-sided tangential interpolation with real-valued data: Description of interpolants.- 6. Degrees of interpolants.- 7. Generalized Nevanlinna-Pick interpolation for real rational matrix functions.- References.- On the spectra of operator completion problems.- 1. Introduction.- 2. Case of finite dimensional spaces.- 3. Case of infinite dimensional spaces.- References.- The exact H2 estimate for the central H? interpolant.- 1. An improved Kaftal-Larson-Weiss estimate.- 2. Some formulas for DB?.- 3. The role of DA?2II0*.- 4. The four block problem.- 5. Optimal solutions.- References.- On mixed H2 - H? tangential interpolation.- 1. Introduction.- 2. Formulas for the central solution.- 3. A state space approach.- 4. Applications of the H2 - H? tangential interpolation problem.- References.- On a completion problem for matrices.- 1. Introduction.- 2. Main theorems in the finite dimensional case.- 3. The full range case.- 4. The proof of the main theorems in the finite dimensional case.- 5. Infinite dimensional case.- References.

1. Application of Transgenic and Gene-Targeted Mice to Dissect Mechanisms of Lung Disease.- Emphysema.- 2. Models of Genetic Emphysema: The C57B1/6J Mice and their Mutants: Tight-Skin, Pallid and Beige Giuseppe Lungarella, Eleonora Cavarra and.- 3. ?1-Antitrypsin Deficiency.- 4. Recombinant SLPI: Emphysema and Asthma.- 5. Elastase Inhibitors in the Lung: Expression and Functional Relationships.- 6. Regulation of Neutrophil Proteinases.- 7. Control of Connective Tissue Genes.- Infection.- 8. Genetic Models of Bacterial Lung Infection.- 9. Genetics of Bacteria: Role in Pathogenesis of Infection of the Respiratory Tract.- 10. Polymerase Chain Reaction in the Diagnosis of Respiratory Tract Infections.- 11. Cystic Fibrosis.- 12. Respiratory Bacterial Infections in Patients with Cystic Fibrosis: Pathogenicity and Implications for Serine Proteinase Inhibitor Therapy.

On Some Operator Colligations and Associated Reproducing Kernel Spaces.- On the Spectra of Selfadjoint Extensions.- On the Spectrum of Singular Nonselfadjoint Differential Operators.- The Commutant Lifting Theorem for Contractions on Kre?n Spaces.- A Method for Constructing Invariant Subspaces for some Operators on Kre?n Spaces.- Applications of the Furuta Inequality to Operator Inequalities and Norm Inequalities Preserving some Orders.- Quasi-contractions on Kre?n Spaces.- Antitonicity of the Inverse and J-Contractivity.- Unitary Extensions of a System of Commuting Isometric Operators.- Some Generalizations of Classical Interpolation Problems.- The Kobayashi Distance between two Contractions.- The Category of Quotient Bornological Spaces.

1 Preliminary results. Integral transforms in the complex domain.- 1.1 Introduction.- 1.2 Some identities.- 1.3 Integral representations and asymptotic formulas.- 1.4 Distribution of zeros.- 1.5 Identities between some Mellin transforms.- 1.6 Fourier type transforms with Mittag-Leffler kernels.- 1.7 Some consequences.- 1.8 Notes.- 2 Further results. Wiener-Paley type theorems.- 2.1 Introduction.- 2.2 Some simple generalizations of the first fundamental Wiener-Paley theorem.- 2.3 A general Wiener-Paley type theorem and some particular results.- 2.4 Two important cases of the general Wiener-Paley type theorem.- 2.5 Generalizations of the second fundamental Wiener-Paley theorem.- 2.6 Notes.- 3 Some estimates in Banach spaces of analytic functions.- 3.1 Introduction.- 3.2 Some estimates in Hardy classes over a half-plane.- 3.3 Some estimates in weighted Hardy classes over a half-plane.- 3.4 Some estimates in Banach spaces of entire functions of exponential type.- 3.5 Notes.- 4 Interpolation series expansions in spacesW1/2, ?p, ?of entire functions.- 4.1 Introduction.- 4.2 Lemmas on special Mittag-Leffler type functions.- 4.3 Two special interpolation series.- 4.4 Interpolation series expansions.- 4.5 Notes.- 5 Fourier type basic systems inL2(0, ?).- 5.1 Introduction.- 5.2 Biorthogonal systems of Mittag-Leffler type functions and their completeness inL2(0, ?).- 5.3 Fourier series type biorthogonal expansions inL2(0, ?).- 5.4 Notes.- 6 Interpolation series expansions in spacesWs+1/2, ?p, ?of entire functions.- 6.1 Introduction.- 6.2 The formulation of the main theorems.- 6.3 Auxiliary relations and lemmas.- 6.4 Further auxiliary results.- 6.5 Proofs of the main theorems.- 6.6 Notes.- 7 Basic Fourier type systems inL2spaces of odd-dimensional vector functions.- 7.1 Introduction.- 7.2 Some identities.- 7.3 Biorthogonal systems of odd-dimensional vector functions.- 7.4 Theorems on completeness and basis property.- 7.5 Notes.- 8 Interpolation series expansions in spacesWs, ?p, ?of entire functions.- 8.1 Introduction.- 8.2 The formulation of the main interpolation theorem.- 8.3 Auxiliary relations and lemmas.- 8.4 Further auxiliary results.- 8.5 The proof of the main interpolation theorem.- 8.6 Notes.- 9 Basic Fourier type systems inL2spaces of even-dimensional vector functions.- 9.1 Introduction.- 9.2 Some identities.- 9.3 The construction of biorthogonal systems of even-dimensional vector functions.- 9.4 Theorems on completeness and basis property.- 9.5 Notes.- 10 The simplest Cauchy type problems and the boundary value problems connected with them.- 10.1 Introduction.- 10.2 Riemann-Liouville fractional integrals and derivatives.- 10.3 A Cauchy type problem.- 10.4 The associated Cauchy type problem and the analog of Lagrange formula.- 10.5 Boundary value problems and eigenfunction expansions.- 10.6 Notes.- 11 Cauchy type problems and boundary value problems in the complex domain (the case of odd segments).- 11.1 Introduction.- 11.2 Preliminaries.- 11.3 Cauchy type problems and boundary value problems containing the operators $$ {\mathbb{L}_{s + 1/2}}$$ and $$ \mathbb{L}_{s + 1/2}^*$$.- 11.4 Expansions inL2{?2s+1(?)} in terms of Riesz bases.- 11.5 Notes.- 12 Cauchy type problems and boundary value problems in the complex domain (the case of even segments).- 12.1 Introduction.- 12.2 Preliminaries.- 12.3 Cauchy type problems and boundary value problems containing the operators $${{\mathbb{L}}_{s}} $$ and $$ \mathbb{L}_{s}^*$$.- 12.4 Expansions inL2{?2s(?)} in terms of Riesz bases.- 12.5

The discovery of valproate.- The pharmacology of valproate.- Pharmacological effects and mechanisms of action.- Chemistry and biotransformation.- Absorption, distribution and excretion.- Toxicity.- Clinical use of valproate.- Valproate in the treatment of epilepsies in children.- Treatment of epilepsies in adults.- Valproate use in psychiatry: A focus on bipolar illness.- Valproate in the treatment of headache.- Adverse effects and interactions with other drugs.- The future of valproate.

1. Residue Currents in one Dimension. Different Approaches.- 1. Residue attached to a holomorphic function.- 2. Some other approaches to the residue current.- 3. Some variants of the classical Pompeiu formula.- 4. Some applications of Pompeiu's formulas. Local results.- 5. Some applications of Pompeiu's formulas. Global results.- References for Chapter 1.- 2. Integral Formulas in Several Variables.- 1. Chains and cochains, homology and cohomology.- 2. Cauchy's formula for test functions.- 3. Weighted Bochner-Martinelli formulas.- 4. Weighted Andreotti-Norguet formulas.- 5. Applications to systems of algebraic equations.- References for Chapter 2.- 3. Residue Currents and Analytic Continuation.- 1. Leray iterated residues.- 2. Multiplication of principal values and residue currents.- 3. The Dolbeault complex and the Grothendieck residue.- 4. Residue currents.- 5. The local duality theorem.- References for Chapter 3.- 4. The Cauchy-Weil Formula and its Consequences.- 1. The Cauchy-Weil formula.- 2. The Grothendieck residue in the discrete case.- 3. The Grothendieck residue in the algebraic case.- References for Chapter 4.- 5. Applications to Commutative Algebra and Harmonic Analysis.- 1. An analytic proof of the algebraic Nullstellensatz.- 2. The membership problem.- 3. The Fundamental Principle of L. Ehrenpreis.- 4. The role of the Mellin transform.- References for Chapter 5.

This work gives a coherent introduction to isoperimetric inequalities in Riemannian manifolds, featuring many of the results obtained during the last 25 years and discussing different techniques in the area. Written in a clear and appealing style, the book includes sufficient introductory material, making it also accessible to graduate students. It will be of interest to researchers working on geometric inequalities either from a geometric or analytic point of view, but also to those interested in applying the described techniques to their field.

Anti-Inflammatory Drugs in Asthma: The Pathophysiology of Asthma.- Corticosteroids.- Phosphodiesterases in Asthma.- ?2-Agonists.- Mast Cell Stabilizing Drugs.- Anti-Leukotriene Therapy for Asthma.- Immunomodulators.- Immunomodulators.- Mast Cell Proteases as New Targets for Therapeutic Intervention in Asthma.- Cytokine and Adhesion Molecule Antagonists.

V: Triangular Representations.- XX. Additive lower-upper triangular decompositions of operators.- XXI. Operators in triangular form.- XXII. Multiplicative lower-upper triangular decompositions of operators.- VI: Classes of Toeplitz Operators.- XXIII. Block Toeplitz operators.- XXIV. Toeplitz operators defined by rational matrix functions.- XXV. Toeplitz operators defined by piecewise continuous matrix functions.- VII: Contractive Operators and Characteristic Operator Functions.- XXVI. Block shift operators.- XXVII. Dilation theory.- XXVIII. Unitary systems and characteristic operator functions.- VIII: Banach Algebras And Algebras Of Operators.- XXIX. General theory.- XXX. Commutative Banach algebras.- XXXI. Elements of C*-algebra theory.- XXXII. Banach algebras generated by Toeplitz operators.- IX: Extension and Completion Problems.- XXXIII. Completions of matrices.- XXXIV. A general scheme for completion and extension problems.- XXXV. Applications of the band method.- Standard references texts.- List of symbols.

"The book under review collects and regroups results on the representation theory of the Jacobi group of lowest degree mostly due to R.Berndt and his coworkers J.Homrighausen and R.Schmidt. The book is very well written and gives an up to date collection of the results known. It will be quite useful for everyone working in the field. The first chapter introduces the Jacobi group GJ, a semi-direct product of SL(2) with a Heisenberg group, and describes different possible coordinates on the group, the Haar measure, the Lie algebra, as well as, over the reals, a (generalized) Iwasawa decomposition and the associated homogeneous space..." ---Zentralblatt Math "This book is an exposition which incorporates results of the authors' research works [that] will be very helpful for those who have some knowledge of the Jacquet-Langlands theory for GL2... Recommended for researchers interested in modular and automorphic forms." ---Mathematical Reviews

Uncertainty principles for time-frequency operators.- 1. Introduction.- 2. Sampling results for time-frequency transformations.- 3. Uncertainty principles for exact Gabor and wavelet frames.- References.- Distribution of zeros of matrix-valued continuous analogues of orthogonal polynomials.- 1. Preliminary results.- 1.1. Matrix-valued Krein functions of the first and second kinds.- 1.2. Partitioned integral operators.- 2. Orthogonal operator-valued polynomials.- 2.1. Stein equations for operators.- 2.2. Zeros of orthogonal polynomials.- 2.3. On Toeplitz matrices with operator entries.- 3. Zeros of mat rix-valued Krein functions.- 3.1 On Wiener-Hopf operators.- 3.2. Proof of the main theorem.- References.- The band extension of the real line as a limit of discrete band extensions, II. The entropy principle.- 0. Introduction.- I. Preliminaries.- II. Main results.- References.- Weakly positive matrix measures, generalized Toeplitz forms, and their applications to Hankel and Hilbert transform operators.- 1. Lifting properties of generalized Toeplitz forms and weakly positive matrix measures.- 2. The GBT and the theorems of Helson-Szegö and Nehari.- 3. GNS construction, Wold decomposition and abstract lifting theorems.- 4. Multiparameter and n-conditional lifting theorems, the A-A-K theorem and applications in several variables.- References.- Reduction of the abstract four block problem to a Nehari problem.- 0. Introduction.- 1. Main theorems.- 2. Proofs of the main theorems.- References.- The state space method for integro-differential equations of Wiener-Hopf type with rational matrix symbols.- 1. Introduction and main theorems.- 2. Preliminaries on matrix pencils.- 3. Singular differential equations on the full-line.- 4. Singular differential equations on the half-line.- 5. Preliminaries on realizations.- 6. Proof of theorem 1.1.- 7. Proofs of theorems 1.2 and 1.3.- 8. An example.- References.- Symbols and asymptotic expansions.- 0. Introduction.- I. Smooth symbols on Rn.- II. Piecewise smooth symbols on T.- III. Piecewise smooth symbols on Rn.- IV. Symbols discontinuous across a hyperplane in Rn × Rn.- References.- Program of Workshop.

1. Needle Microinjection: A Brief History.- 2. Microinjection of Macromolecules into Mammalian Cells in Culture.- 3. The Use of Plasmid Microinjection to Study Specific Cell Cycle Phase Transitions.- 4. Combining Microinjection with Microanalytical Methods to Investigate Regulation of Metabolic Pathways.- 5. Import of Stably Folded Proteins into Peroxisomes.- 6. Study of the Function of Microtubule Proteins.- 7. Cytoskeleton Regulation by Rho Proteins.- 8. Cytoskeletal Regulation by Rho-p21 Associated Kinases: Analysis of ROK and PAK Function by Plasmid Microinjection.- 9. Use of Microinjection to Study Apoptosis and its Prevention.- 10. Role of the InsP3 Receptor in Intracellular Ca2+ Release and Ca2+ Entry.- 11. Microinjection of Xenopus laevis Oocytes: A Model System.- 12. Xenopus laevis Oocytes as a Model for Studying the Activation of Intracellular Kinases.- 13. Signal Transduction in Xenopus laevis Oocytes by Ras Oncoproteins and Lipid Metabolites.- 14. The Multiple Roles of Mos During Meiosis.- 15. Use of the Xenopus Oocyte System to Study RNA Transport.- 16. Functional Expression of G Protein-Coupled Receptors in Xenopus laevis Oocytes.- 17. Expression of Glucose Transporters in Xenopus laevis Oocytes: Applications for the Study of Membrane Transporter Function and Regulation.- 18. DNA Injection into Xenopus laevis Embryos as a Tool to Study Spatial Gene Activity.- 19. Transformation of Nematodes by Microinjection.- Guide to Solutions.- Guide to Protocols.- Troubleshooting Guide.