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Graduate Texts in Mathematics

Fourier Analysis on Number Fields

Authors: Ramakrishnan, Dinakar, Valenza, Robert J.

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  • ISBN 978-1-4757-3085-2
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Hardcover 76,91 €
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  • ISBN 978-0-387-98436-0
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Softcover 76,91 €
price for Spain (gross)
  • ISBN 978-1-4757-3087-6
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  • The final prices may differ from the prices shown due to specifics of VAT rules
About this Textbook

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.

Table of contents (7 chapters)

  • Topological Groups

    Ramakrishnan, Dinakar (et al.)

    Pages 1-45

    Preview Buy Chapter 30,19 €
  • Some Representation Theory

    Ramakrishnan, Dinakar (et al.)

    Pages 46-85

    Preview Buy Chapter 30,19 €
  • Duality for Locally Compact Abelian Groups

    Ramakrishnan, Dinakar (et al.)

    Pages 86-131

    Preview Buy Chapter 30,19 €
  • The Structure of Arithmetic Fields

    Ramakrishnan, Dinakar (et al.)

    Pages 132-178

    Preview Buy Chapter 30,19 €
  • Adeles, Ideles, and the Class Groups

    Ramakrishnan, Dinakar (et al.)

    Pages 179-212

    Preview Buy Chapter 30,19 €

Buy this book

eBook 62,99 €
price for Spain (gross)
  • ISBN 978-1-4757-3085-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 76,91 €
price for Spain (gross)
  • ISBN 978-0-387-98436-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 76,91 €
price for Spain (gross)
  • ISBN 978-1-4757-3087-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Fourier Analysis on Number Fields
Authors
Series Title
Graduate Texts in Mathematics
Series Volume
186
Copyright
1999
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4757-3085-2
DOI
10.1007/978-1-4757-3085-2
Hardcover ISBN
978-0-387-98436-0
Softcover ISBN
978-1-4757-3087-6
Series ISSN
0072-5285
Edition Number
1
Number of Pages
XXII, 354
Topics