Author(s): F.V. Atkinson (Eds.)
Series: Mathematics in Science and Engineering 8
Publisher: Academic Press
Year: 1964
Language: English
Pages: iii-viii, 1-570
Content:
Edited by
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
