A Basis Theory Primer Expanded Edition
Instructors have several options for building a course around the text depending on the level and background of their students
| Main Author: | |
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| Format: | eBook |
| Language: | English |
| Published: |
Boston, MA
Birkhäuser
2011, 2011
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| Edition: | 1st ed. 2011 |
| Series: | Applied and Numerical Harmonic Analysis
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- 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