A basis theory primer
The classical subject of bases in Banach spaces has taken on a new life in the modern development of applied harmonic analysis. This textbook is a self-contained introduction to the abstract theory of bases and redundant frame expansions and its use in both applied and classical harmonic analysis. T...
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| 主要作者: | |
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| 格式: | Livre numérique |
| 語言: | Anglais |
| 出版: |
Boston :
Birkhäuser Boston : Springer e-books
[20..].
Cham : Springer Nature |
| 版: | Expanded Edition. |
| 叢編: | Applied and Numerical Harmonic Analysis
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| 主題: | |
| 在線閱讀: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| 提示: |
Description d'après consultation du 20 avril 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • A Basis Theory Primer, Christopher Heil, Expanded Edition, 2011, New York, USA, Brikäuser, 1 volume (xxv, 534 pages), Applied and Numerical Harmonic Analysis, 978-0-8176-4686-8 |
書本目錄:
- ANHA Series Preface Preface General Notation Part I. A Primer on Functional Analysis Banach Spaces and Operator Theory Functional Analysis Part II. Bases and Frames Unconditional Convergence of Series in Banach and Hilbert Spaces Bases in Banach Spaces Biorthogonality, Minimality, and More About Bases Unconditional Bases in Banach Spaces Bessel Sequences and Bases in Hilbert Spaces Frames in Hilbert Spaces Part III. Bases and Frames in Applied Harmonic Analysis The Fourier Transform on the Real Line Sampling, Weighted Exponentials, and Translations Gabor Bases and Frames Wavelet Bases and Frames Part IV. Fourier Series Fourier Series Basic Properties of Fourier Series Part V. Appendices Lebesgue Measure and Integration Compact and Hilbert Schmidt Operators Hints for Exercises Index of Symbols References Index