Introduction to Hilbert space / Nicholas Young.
Material type:
- 9780521337175
- 515.733 23 Y74
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Books | ISI Library, Kolkata | 515.733 Y74 (Browse shelf(Opens below)) | Available | 135632 |
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515.733 Sz998 Harmonic analysis of operators on Hilbert space | 515.733 Sz998 Spektraldarstellung linearer transformationen des Hilbertschen Raumes | 515.733 Un58 Introduction to Hilbert space | 515.733 Y74 Introduction to Hilbert space / | 515.74 G774 Several complex variables | 515.75 R228 Functional equations in mathematical analysis | 515.782 Elements of distribution theory |
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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