Dinakar Ramakrishnan; Robert J. Valenza Fourier Analysis on Number Fields 9781475730876

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Автор: Dinakar Ramakrishnan; Robert J. Valenza
Название: Fourier Analysis on Number Fields
ISBN: 9781475730876
Издательство: Springer
Классификация:

Алгебра

Основы высшей математики и математический анализ

ISBN-10: 147573087X
Обложка/Формат: Paperback
Страницы: 354
Вес: 0.53 кг.
Дата издания: 03.03.2013
Серия: Graduate Texts in Mathematics
Язык: English
Размер: 234 x 156 x 20
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This book grew out of notes from several courses that the first author has taught over the past nine years at the California Institute of Technology, and earlier at the Johns Hopkins University, Cornell University, the University of Chicago, and the University of Crete. Our general aim is to provide a modern approach to number theory through a blending of complementary algebraic and analytic perspectives, emphasizing harmonic analysis on topological groups. Our more particular goal is to cover Jolm Tates visionary thesis, giving virtually all of the necessary analytic details and topological preliminaries-technical prereq- uisites that are often foreign to the typical, more algebraically inclined number theorist. Most of the existing treatments of Tates thesis, including Tates own, range from terse to cryptic; our intent is to be more leisurely, more comprehen- sive, and more comprehensible. To this end we have assembled material that has admittedly been treated elsewhere, but not in a single volume with so much detail and not with our particular focus. We address our text to students who have taken a year of graduate-level courses in algebra, analysis, and topology. While our choice of objects and methods is naturally guided by the specific mathematical goals of the text, our 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.

Fourier Analysis on Number Fields, Dinakar Ramakrishnan; Robert J. Valenza