Articoli correlati a Fourier Analysis on Number Fields: 186
Sinossi
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 inclinded number theorist.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Contenuti
1 Topological Groups.- 2 Some Representation Theory.- 3 Duality for Locally Compact Abelian Groups.- 4 The Structure of Arithmetic Fields.- 5 Adeles, Ideles, and the Class Groups.- 6 A Quick Tour of Class Field Theory.- 7 Tate’s Thesis and Applications.- Appendices.- Appendix A: Normed Linear Spaces.- A.1 Finite-Dimensional Normed Linear Spaces.- A.2 The Weak Topology.- A.3 The Weak-Star Topology.- Appendix B: Dedekind Domains.- B.1 Basic Properties.- B.2 Extensions of Dedekind Domains.- References.
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Fourier Analysis on Number Fields (Graduate Texts in Mathematics)
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Fourier Analysis on Number Fields (Paperback)
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Paperback. Condizione: new. Paperback. 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 Tate's 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 Tate's thesis, including Tate's 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Codice articolo 9781475730876
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Fourier Analysis on Number Fields (Graduate Texts in Mathematics)
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Fourier Analysis on Number Fields (Graduate Texts in Mathematics)
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Fourier Analysis on Number Fields (Graduate Texts in Mathematics)
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Fourier Analysis on Number Fields
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Springer New York Mrz 2013, 2013
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ISBN 13: 9781475730876
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 380 pp. Englisch. Codice articolo 9781475730876
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Fourier Analysis on Number Fields
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Springer-Verlag New York Inc., 2013
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ISBN 13: 9781475730876
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Fourier Analysis on Number Fields
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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 ana. Codice articolo 4207192
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Fourier Analysis on Number Fields
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Condizione: New. Print on Demand pp. 380 49:B&W 6.14 x 9.21 in or 234 x 156 mm (Royal 8vo) Perfect Bound on White w/Gloss Lam. Codice articolo 94564587
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