Harmonic Analysis on the Real Line
A Path in the Theory
1st Edition
Published on 29. September 2022
Book
Paperback/Softback
IX, 197 pages
978-3-030-81894-4 (ISBN)
Description
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.
Reviews / Votes
"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)"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)
More details
Product info
Paperback
Series
Edition
1st ed. 2021
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
Professional and scholarly
Illustrations
IX, 197 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 12 mm
Weight
324 gr
ISBN-13
978-3-030-81894-4 (9783030818944)
DOI
10.1007/978-3-030-81892-0
Schweitzer Classification
Other editions
Additional editions
Book
09/2021
1st Edition
Birkhäuser
€69.54
Shipment within 7-9 days
Person
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 Birkhaeuser/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).
<b>Elijah Liflyand</b> 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 Birkhaeuser/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).
<b>Elijah Liflyand</b> 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 Birkhaeuser/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).
Content
- Introduction. - Classes of Functions. - Fourier Series. - Fourier Transform. - Hilbert Transform. - Hardy Spaces and their Subspaces. - Hardy Inequalities. - Certain Applications.