Harmonic Analysis on the Real Line

A Path in the Theory

Elijah Liflyand

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Hardback

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English

Springer Nature Switzerland AG
28 September 2021

Real analysis, real variables; Functional analysis & transforms

Series: Pathways in Mathematics

This book sketches a path for newcomers into the theory of harmonic analysis on the real line. It presents a collection of both basic, well-known and some less known results that may serve as a background for future research around this topic. Many of these results are also a necessary basis for multivariate extensions. An extensive bibliography, as well as hints to open problems are included. The book can be used as a skeleton for designing certain special courses, but it is also suitable for self-study.

By: Elijah Liflyand
Imprint: Springer Nature Switzerland AG
Country of Publication: Switzerland
Edition: 2021 ed.
Dimensions: Height: 235mm, Width: 155mm,
Weight: 483g
ISBN: 9783030818913
ISBN 10: 3030818918
Series: Pathways in Mathematics
Pages: 197
Publication Date: 28 September 2021
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

Elijah Liflyand has recently retired from his position at the Department of Mathematics at Bar-Ilan University in Israel, but not from mathematics. He also holds a position at the at the Regional Mathematical Center of Southern Federal University in Rostov-on-Don, Russia. His areas of expertise are in Fourier Analysis, Complex Analysis, and Approximation Theory, among others. With Birkhäuser/Springer, he has published two books: ""Decay of the Fourier Transform"" (with Alex Iosevich, 2014), and ""Functions of Bounded Variation and Their Fourier Transforms"" (in the Applied Numerical and Harmonic Analysis series, 2019).

Reviews for Harmonic Analysis on the Real Line: A Path in the Theory

“This book is very accurately described by its subtitle ‘a path in the theory’. The book is at times a textbook, an introduction to harmonic analysis, an essay, or a survey, or some combination of these. … Some theorems are stated and proved, some are discussed, and others are quickly mentioned. It's not a standard path, but an engaging one, offering insights and connections that are new or not well known.” (‪Charles N. Moore, Mathematical Reviews, September, 2022)