| 书目名称 | Fourier Analysis on Number Fields | | 编辑 | Dinakar Ramakrishnan,Robert J. Valenza | | 视频video | | | 丛书名称 | Graduate Texts in Mathematics | | 图书封面 |  | | 描述 | 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 c | | 出版日期 | Textbook 1999 | | 关键词 | Algebra; Arithmetic; Finite; Topology; calculus; harmonic analysis | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4757-3085-2 | | isbn_softcover | 978-1-4757-3087-6 | | isbn_ebook | 978-1-4757-3085-2Series ISSN 0072-5285 Series E-ISSN 2197-5612 | | issn_series | 0072-5285 | | copyright | Springer Science+Business Media New York 1999 |
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发表于 2025-3-21 16:36:07
