000			02196nam a22003137a 4500
003			OSt
005			20240626103046.0
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020			_a9781475730876
040			_aNISER LIBRARY _beng _cNISER LIBRARY
082			_a517.443 _bRAM-F
100			_aRamakrishnan, Dinakar
245			_aFourier analysis on number fields
260			_aNew York : _bSpringer-Verlag, _c1999.
300			_axxi, 350p. ; _c25 cm.
490			_aGraduate texts in mathematics, _v186. _x0072-5285;
504			_aIncludes bibliographical references (p. [339]-343) and index.
520			_aA 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.
650			_aFourier analysis.
650			_aTopological groups.
650			_aNumber theory.
650			_aAlgebra
650			_aArithmetic
650			_aHarmonic analysis
700			_aValenza, Robert J.
856			_3Table of Contents _uhttps://link.springer.com/content/pdf/bfm:978-1-4757-3085-2/1
856			_3Reviews _uhttps://www.goodreads.com/book/show/18567631-fourier-analysis-on-number-fields?ref=nav_sb_ss_1_13#CommunityReviews
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999			_c35069 _d35069