Discrete and Continuous Boundary Problems

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Page iii

Copyright page
Page iv

Preface
Pages v-viii

Introduction
Pages 1-24

Chapter 1 Boundary Problems for Rational Functions
Pages 25-54

Chapter 2 The Infinite Discrete Case
Pages 55-82

Chapter 3 Discrete Linear Problems
Pages 83-96

Chapter 4 Finite Orthogonal Polynomials
Pages 97-118

Chapter 5 Orthogonal Polynomials The Infinite Case
Pages 119-141

Chapter 6 Matrix Methods for Polynomials
Pages 142-169

Chapter 7 Polynomials Orthogonal on the Unit Circle
Pages 170-201

Chapter 8 Sturm-Liouville Theory
Pages 202-251

Chapter 9 The General First-Order Differential System
Pages 252-299

Chapter 10 Matrix Oscillation Theory
Pages 300-338

Chapter 11 From Differential to Integral Equations
Pages 339-365

Chapter 12 Asymptotic Theory of Some Integral Equations
Pages 366-415

Appendix I Some Compactness Principles for Stieltjes Integrals
Pages 416-435

Appendix II Functions of Negative Imaginary Type
Pages 436-440

Appendix III Orthogonality of Vectors
Pages 441-446

Appendix IV Some Stability Results for Linear Systems
Pages 447-456

Appendix V Eigenvalues of Varying Matrices
Pages 457-470

Appendix VI Perturbation of Bases in Hilbert Space
Pages 471-475

Notation and Terminology
Pages 476-477

List of Books and Monographs
Pages 478-480

Notes
Pages 481-535

Problems
Pages 536-564

Index
Pages 565-570