Fourier analysis on number fields
By: Dinakar Ramakrishnan, Robert J. Valenza.
Contributors: Valenza, Robert J., 1951-
Series: Graduate texts in mathematics ;; 186
Publisher: Springer
Published: 1999
Place of publication: New York
Language: eng
Number of pages: 350
Subjects: Fourier analysis; Topological groups; Number theory
Description: "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 inclined number theorist. While most of the existing treatments of Tate's thesis are somewhat terse and less than complete, the authors' intent is to be more leisurely, more comprehensive, and more comprehensible. The text addresses students who have taken a year of graduate-level courses in algebra, analysis, and topology."--BOOK JACKET.
Notes: Includes bibliographical references (p. [339]-343) and index.