+612 9045 4394
 
CHECKOUT
Commutative Harmonic Analysis I : General Survey. Classical Aspects - Viktor Petrovich Khavin

Commutative Harmonic Analysis I

General Survey. Classical Aspects

By: Viktor Petrovich Khavin (Editor), N. K. Nikol'skii (Editor), D. Khavinson (Translator), S. V. Kislyakov (Translator)

Hardcover

Published: 15th August 1991
Ships: 7 to 10 business days
7 to 10 business days
RRP $430.99
$298.25
31%
OFF
or 4 easy payments of $74.56 with Learn more

Other Available Formats (Hide)

  • Paperback View Product Published: 1st December 2010
    $236.80

This is the first volume in the subseries Commutative Harmonic Analysis of the EMS. It is intended for anyone who wants to get acquainted with the discipline. The first article is a large introduction, also serving as a guide to the rest of the volume. Starting from Fourier analysis of periodic function, then going through the Fourier transform and distributions, the exposition leads the reader to the group theoretic point of view. Numer- rous examples illustrate the connections to differential and integral equations, approximation theory, number theory, probability theory and physics. The article also contains a brief historical essay on the development of Fourier analysis. The second article focuses on some of the classical problems of Fourier series; it's a "mini-Zygmund" for the beginner. In particular, the convergence and summability of Fourier series, translation invariant operators and theorems on Fourier coefficients are given special attention. The third article is the most modern of the three, concentrating on the theory of singular integral operators. The simplest such operator, the Hilbert transform, is covered in detail. There is also a thorough introduction to Calderon-Zygmund theory.

I. Methods and Structure of Commutative Harmonic Analysis.- II. Classical Themes of Fourier Analysis.- III. Methods of the Theory of Singular Integrals: Hilbert Transform and Calderon-Zygmund Theory.- Author Index.

ISBN: 9783540181804
ISBN-10: 3540181806
Series: Encyclopaedia of Mathematical Sciences
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 270
Published: 15th August 1991
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.5 x 15.5  x 1.7
Weight (kg): 1.27