Classical Fourier Analysis
The primary goal of these two volumes is to present the theoretical foundation of the field of Euclidean Harmonic analysis. The original edition was published as a single volume, but due to its size, scope, and the addition of new material, the second edition consists of two volumes. The present edi...
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| Format: | Electronic |
| Language: | English |
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New York, NY :
Springer New York,
2009.
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| Series: | Graduate Texts in Mathematics,
249 |
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| Online Access: | https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-0-387-09432-8 |
Table of Contents:
- Preface
- Lp Spaces and Interpolation
- Maximal Functions, Fourier Transform, and Distributions
- Fourier Analysis on the Torus
- Singular Integrals of Convolution Type
- Littlewood-Paley Theory and Multipliers
- Gamma and Beta Functions
- Bessel Functions
- Rademacher Functions
- Spherical Coordinates
- Some Trigonometric Identities and Inequalities
- Summation by Parts
- Basic Functional Analysis
- The Minimax Lemma
- The Schur Lemma
- The Whitney Decomposition of Open Sets in Rn
- Smoothness and Vanishing Moments
- Glossary
- References
- Index.