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- catalog abstract ""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.".
- catalog contributor b11041306.
- catalog contributor b11041307.
- catalog created "c1999.".
- catalog date "1999".
- catalog date "c1999.".
- catalog dateCopyrighted "c1999.".
- catalog 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.".
- catalog description "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 -- App. A. Normed Linear Spaces -- App. B. Dedekind Domains.".
- catalog description "Includes bibliographical references (p. [339]-343) and index.".
- catalog extent "xxi, 350 p. ;".
- catalog identifier "0387984364 (hardcover : alk. paper)".
- catalog isPartOf "Graduate texts in mathematics ; 186".
- catalog issued "1999".
- catalog issued "c1999.".
- catalog language "eng".
- catalog publisher "New York : Springer,".
- catalog subject "515/.2433 21".
- catalog subject "Fourier analysis.".
- catalog subject "Number theory.".
- catalog subject "QA403.5 .R327 1999".
- catalog subject "Topological groups.".
- catalog tableOfContents "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 -- App. A. Normed Linear Spaces -- App. B. Dedekind Domains.".
- catalog title "Fourier analysis on number fields / Dinakar Ramakrishnan, Robert J. Valenza.".
- catalog type "text".