Introduction to Harmonic Analysis (English Edition. 3rd Edition)

Author: (USA) Yitzhak Katznelson
Publisher:
Publish Date: 2005-01-01
Features: Since its publication in 1968, this book has firmly established its classic status and been highly regarded by students and experts. Professor Katznelson was awarded the Steinitz Prize in 2002 for this book. Starting with a clear exposition of classical Fourier analysis, the book aims to present the central ideas of harmonic analysis through a concrete framework and provides numerous examples to help readers gain a thorough understanding of the theory of harmonic analysis. After establishing these ideas, the author extends harmonic analysis far beyond the scope of circular groups and opens the door to other fields by discussing Fourier transforms on the real line and giving a brief examination of Fourier analysis on locally compact abelian groups. Compared to previous editions, this version includes additional supplementary materials, such as topics in approximation theory and examples of applying probabilistic methods in harmonic analysis.