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Introduction to Hilbert space / Nicholas Young.

By: Material type: TextTextSeries: Cambridge mathematical textbooksPublication details: Cambridge : Cambridge University Press, 1988.Description: 239 p. ; 24 cmISBN:
  • 9780521337175
Subject(s): DDC classification:
  • 515.733 23 Y74
Contents:
Foreword; Introduction; 1. Inner product spaces; 2. Normed spaces; 3. Hilbert and Banach spaces; 4. Orthogonal expansions; 5. Classical Fourier series; 6. Dual spaces; 7. Linear operators; 8. Compact operators; 9. Sturm-Liouville systems; 10. Green's functions; 11. Eigenfunction expansions; 12. Positive operators and contractions; 13. Hardy spaces; 14. Interlude: complex analysis and operators in engineering; 15. Approximation by analytic functions; 16. Approximation by meromorphic functions; Appendix; References; Answers to selected problems; Afterword; Index of notation; Subject index.
Summary: This textbook is an introduction to the theory of Hilbert space and its applications.
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Includes indexes.

Foreword;
Introduction;
1. Inner product spaces;
2. Normed spaces;
3. Hilbert and Banach spaces;
4. Orthogonal expansions;
5. Classical Fourier series;
6. Dual spaces;
7. Linear operators;
8. Compact operators;
9. Sturm-Liouville systems;
10. Green's functions;
11. Eigenfunction expansions;
12. Positive operators and contractions;
13. Hardy spaces;
14. Interlude: complex analysis and operators in engineering; 15. Approximation by analytic functions;
16. Approximation by meromorphic functions;
Appendix;
References;
Answers to selected problems;
Afterword;
Index of notation;
Subject index.

This textbook is an introduction to the theory of Hilbert space and its applications.

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