ENGLISH

Fourier Meets Hilbert and Riesz: An Introduction to the Corresponding Transforms

By Rene Erlin Castillo

Book information

Publisher
de Gruyter
Year
2022
ISBN
9783110784091, 9783110784053
Language
english
Format
PDF
Filesize
4 MB (4380494 bytes)
Series
De Gruyter Studies in Mathematics; 87
Pages
306\306
Time added
2023-06-01 00:48:34

Description

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 detailed examples and exercises. Explains how ideas from harmonic analysis are used in the analysis of various important singular integral transforms. Clean and systematic presentation of theorems and proofs. Ideal for self-study or a course in Fourier analysis. 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

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