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Fourier Analysis on Groups

2017-04-19 Mathematics
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Release : 2017-04-19
Genre : Mathematics
Kind : eBook
Book Rating : 013/5 ( reviews)

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Book Synopsis Fourier Analysis on Groups by : Walter Rudin

Download or read book Fourier Analysis on Groups written by Walter Rudin. This book was released on 2017-04-19. Available in PDF, EPUB and Kindle. Book excerpt: Self-contained treatment by a master mathematical expositor ranges from introductory chapters on basic theorems of Fourier analysis and structure of locally compact Abelian groups to extensive appendixes on topology, topological groups, more. 1962 edition.

Fourier Analysis on Finite Groups and Applications

1999-03-28 Mathematics
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Release : 1999-03-28
Genre : Mathematics
Kind : eBook
Book Rating : 187/5 ( reviews)

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Book Synopsis Fourier Analysis on Finite Groups and Applications by : Audrey Terras

Download or read book Fourier Analysis on Finite Groups and Applications written by Audrey Terras. This book was released on 1999-03-28. Available in PDF, EPUB and Kindle. Book excerpt: It examines the theory of finite groups in a manner that is both accessible to the beginner and suitable for graduate research.

Fourier Analysis on Finite Abelian Groups

2009-08-14 Mathematics
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Release : 2009-08-14
Genre : Mathematics
Kind : eBook
Book Rating : 166/5 ( reviews)

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Book Synopsis Fourier Analysis on Finite Abelian Groups by : Bao Luong

Download or read book Fourier Analysis on Finite Abelian Groups written by Bao Luong. This book was released on 2009-08-14. Available in PDF, EPUB and Kindle. Book excerpt: This unified, self-contained book examines the mathematical tools used for decomposing and analyzing functions, specifically, the application of the [discrete] Fourier transform to finite Abelian groups. With countless examples and unique exercise sets at the end of each section, Fourier Analysis on Finite Abelian Groups is a perfect companion to a first course in Fourier analysis. This text introduces mathematics students to subjects that are within their reach, but it also has powerful applications that may appeal to advanced researchers and mathematicians. The only prerequisites necessary are group theory, linear algebra, and complex analysis.

Fourier Analysis on Groups

1991-01-16 Mathematics
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Release : 1991-01-16
Genre : Mathematics
Kind : eBook
Book Rating : 64X/5 ( reviews)

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Book Synopsis Fourier Analysis on Groups by : Walter Rudin

Download or read book Fourier Analysis on Groups written by Walter Rudin. This book was released on 1991-01-16. Available in PDF, EPUB and Kindle. Book excerpt: In the late 1950s, many of the more refined aspects of Fourier analysis were transferred from their original settings (the unit circle, the integers, the real line) to arbitrary locally compact abelian (LCA) groups. Rudin's book, published in 1962, was the first to give a systematic account of these developments and has come to be regarded as a classic in the field. The basic facts concerning Fourier analysis and the structure of LCA groups are proved in the opening chapters, in order to make the treatment relatively self-contained.

Fourier Analysis on Number Fields

2013-04-17 Mathematics
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Release : 2013-04-17
Genre : Mathematics
Kind : eBook
Book Rating : 853/5 ( reviews)

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Book Synopsis Fourier Analysis on Number Fields by : Dinakar Ramakrishnan

Download or read book Fourier Analysis on Number Fields written by Dinakar Ramakrishnan. This book was released on 2013-04-17. Available in PDF, EPUB and Kindle. Book excerpt: A modern approach to number theory through a blending of complementary algebraic and analytic perspectives, emphasising harmonic analysis on topological groups. The main goal is to cover John Tates visionary thesis, giving virtually all of the necessary analytic details and topological preliminaries -- technical prerequisites that are often foreign to the typical, more algebraically inclined number theorist. While most of the existing treatments of Tates thesis are somewhat terse and less than complete, the intent here is to be more leisurely, more comprehensive, and more comprehensible. While the choice of objects and methods is naturally guided by specific mathematical goals, the approach is by no means narrow. In fact, the subject matter at hand is germane not only to budding number theorists, but also to students of harmonic analysis or the representation theory of Lie groups. The text addresses students who have taken a year of graduate-level course in algebra, analysis, and topology. Moreover, the work will act as a good reference for working mathematicians interested in any of these fields.

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