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The Resource Fourier analysis on number fields, Dinakar Ramakrishnan, Robert J. Valenza
Fourier analysis on number fields, Dinakar Ramakrishnan, Robert J. Valenza
Resource Information
The item Fourier analysis on number fields, Dinakar Ramakrishnan, Robert J. Valenza represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item Fourier analysis on number fields, Dinakar Ramakrishnan, Robert J. Valenza represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
- 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
- Language
- eng
- Extent
- xxi, 350 pages
- 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
- Isbn
- 9780387984360
- Label
- Fourier analysis on number fields
- Title
- Fourier analysis on number fields
- Statement of responsibility
- Dinakar Ramakrishnan, Robert J. Valenza
- Subject
-
- Corps arithmétique
- Corps classe
- Domaine Dedekind
- Fourier analysis
- Fourier analysis
- Fourier, Analyse de
- Fourier, Analyse de
- Fourier-analyse
- Getaltheorie
- Groupes topologiques
- Groupes topologiques
- Harmonische Analyse
- Idèle
- Nombres, Théorie des
- Nombres, Théorie des
- Number theory
- Number theory
- Représentation groupe localement compact
- Thèse Tate
- Topological groups
- Topological groups
- Topologische Gruppe
- Topologische groepen
- Zahlentheorie
- Adèle
- 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
- 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
- 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
- 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
Subject
- Corps arithmétique
- Corps classe
- Domaine Dedekind
- Fourier analysis
- Fourier analysis
- Fourier, Analyse de
- Fourier, Analyse de
- Fourier-analyse
- Getaltheorie
- Groupes topologiques
- Groupes topologiques
- Harmonische Analyse
- Idèle
- Nombres, Théorie des
- Nombres, Théorie des
- Number theory
- Number theory
- Représentation groupe localement compact
- Thèse Tate
- Topological groups
- Topological groups
- Topologische Gruppe
- Topologische groepen
- Zahlentheorie
- Adèle
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