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Commutative Harmonic Analysis I: General Survey. Classical Aspects (Encyclopaedia of Mathematical Sciences) [Hardcover]

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Item description for Commutative Harmonic Analysis I: General Survey. Classical Aspects (Encyclopaedia of Mathematical Sciences) by E.M. Dyn'kin...

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.



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Item Specifications...


Pages   284
Est. Packaging Dimensions:   Length: 9.45" Width: 6.3" Height: 0.79"
Weight:   1.37 lbs.
Binding  Hardcover
Release Date   Aug 15, 1991
Publisher   Springer
ISBN  3540181806  
ISBN13  9783540181804  


Availability  88 units.
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Product Categories

1Books > Special Features > New & Used Textbooks > Sciences > Mathematics
2Books > Subjects > Professional & Technical > Professional Science > Mathematics > Pure Mathematics > Group Theory
3Books > Subjects > Science > History & Philosophy > Science
4Books > Subjects > Science > History & Philosophy > History of Science
5Books > Subjects > Science > Mathematics > General
6Books > Subjects > Science > Mathematics > Pure Mathematics > Group Theory



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