Fourier Analysis on Number Fields

Name: Fourier Analysis on Number Fields
Brand: Springer-Verlag New York Inc.
SKU: 9780387984360
Price: 41213 HUF
Availability: InStock

Szerző: Dinakar Ramakrishnan, Robert J. Valenza

Nyelv:

Kötés: Kemény kötésű

Kiadó: Springer-Verlag New York Inc.

Elérhetőség: Beszállítói készleten

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The general aim of this book is to provide a modern approach to number theory through a blending of...

Információk a könyvről

Szerző

Dinakar Ramakrishnan, Robert J. Valenza

Nyelv

Angol

Kötés

Könyv - Kemény kötésű

Kiadva

1998

oldal

354

EAN

9780387984360

ISBN

0387984364

Enbook ID

05248167

Kiadó

Springer-Verlag New York Inc.

Súly

726

Méretek

242 x 167 x 29

Teljes leírás

The general aim of this book is to provide a modern approach to number theory through a blending of complementary algebraic and analytic perspectives, emphasizing harmonic analysis on topological groups. The more particular goal is to cover John Tate's 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 Tate's thesis are somewhat terse and less than complete, our intent is to be more leisurely, more comprehensive, and more comprehensible. The text addresses students who have taken a year of graduate-level course in algebra, analysis, and topology. While the choice of objects and methods is naturally guided by specific mathematical goals, the approch 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. Moreover, the work should be a good reference for working mathematicians interested in any of these fields. Specific topics include: topologcial groups, representation theory, duality for locally compact abelian groups, the structure of arithmetic fields, adeles and ideles, an introduction to class field theory, and Tate's thesis and applications.

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Fourier Analysis on Number Fields

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