The Resource Fourier analysis on number fields, Dinakar Ramakrishnan, Robert J. Valenza

Fourier analysis on number fields, Dinakar Ramakrishnan, Robert J. Valenza

Label
Fourier analysis on number fields
Title
Fourier analysis on number fields
Statement of responsibility
Dinakar Ramakrishnan, Robert J. Valenza
Creator
Contributor
Subject
Language
eng
Summary
"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."--Jacket
Member of
Cataloging source
DLC
http://library.link/vocab/creatorName
Ramakrishnan, Dinakar
Index
index present
LC call number
QA403.5
LC item number
.R327 1999
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1951-
http://library.link/vocab/relatedWorkOrContributorName
Valenza, Robert J.
http://library.link/vocab/subjectName
  • Fourier analysis
  • Topological groups
  • Number theory
  • Représentation groupe localement compact
  • Corps arithmétique
  • Adèle
  • Idèle
  • Corps classe
  • Thèse Tate
  • Domaine Dedekind
  • Fourier, Analyse de
  • Groupes topologiques
  • Nombres, Théorie des
  • Fourier analysis
  • Number theory
  • Topological groups
  • Fourier-analyse
  • Topologische groepen
  • Getaltheorie
  • Groupes topologiques
  • Fourier, Analyse de
  • Nombres, Théorie des
  • Topologische Gruppe
  • Harmonische Analyse
  • Zahlentheorie
Label
Fourier analysis on number fields, Dinakar Ramakrishnan, Robert J. Valenza
Instantiates
Publication
Bibliography note
Includes bibliographical references (p. [339]-343) and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
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
Dimensions
25 cm.
Extent
xxi, 350 pages
Isbn
9780387984360
Isbn Type
(hardcover : alk. paper)
Lccn
98016715
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
System control number
  • (OCoLC)38833287
  • (OCoLC)ocm38833287
Label
Fourier analysis on number fields, Dinakar Ramakrishnan, Robert J. Valenza
Publication
Bibliography note
Includes bibliographical references (p. [339]-343) and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
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
Dimensions
25 cm.
Extent
xxi, 350 pages
Isbn
9780387984360
Isbn Type
(hardcover : alk. paper)
Lccn
98016715
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
System control number
  • (OCoLC)38833287
  • (OCoLC)ocm38833287

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