Fourier Meets Hilbert and Riesz : : An Introduction to the Corresponding Transforms / / René Erlin Castillo.
This book provides an introduction into the modern theory of classical harmonic analysis, dealing with Fourier analysis and the most elementary singular integral operators, the Hilbert transform and Riesz transforms. Ideal for self-study or a one semester course in Fourier analysis, included are det...
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| Superior document: | Title is part of eBook package: De Gruyter DG Plus DeG Package 2023 Part 1 |
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| Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2022] ©2023 |
| Year of Publication: | 2022 |
| Language: | English |
| Series: | De Gruyter Studies in Mathematics ,
87 |
| Online Access: | |
| Physical Description: | 1 online resource (X, 296 p.) |
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Table of Contents:
- Frontmatter
- Preface
- Contents
- 1 Fundamental concepts
- 2 Fourier series
- 3 Schwartz spaces S(ℝn)
- 4 Distribution functions
- 5 Three-fold approach to the Hilbert transform
- 6 Hilbert transform in L2(ℝ)
- 7 Embedding and strong Lp boundedness for the Hilbert transform
- 8 Riesz transform
- Appendix A
- Bibliography
- Index