Castillo R.E. Fourier Meets Hilbert and Riesz. An Introduction to the Corresponding Transforms

Berlin; Boston: De Gruyter, 2022. — 307 p. — ISBN 9783110784091.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.