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The Resource Basic analysis of regularized series and products, Jay Jorgenson, Serge Lang

Basic analysis of regularized series and products, Jay Jorgenson, Serge Lang

Label
Basic analysis of regularized series and products
Title
Basic analysis of regularized series and products
Statement of responsibility
Jay Jorgenson, Serge Lang
Creator
Contributor
Subject
Language
eng
Summary
Analytic number theory and part of the spectral theory of operators (differential, pseudo-differential, elliptic, etc.) are being merged under amore general analytic theory of regularized products of certain sequences satisfying a few basic axioms. The most basic examples consist of the sequence of natural numbers, the sequence of zeros with positive imaginary part of the Riemann zeta function, and the sequence of eigenvalues, say of a positive Laplacian on a compact or certain cases of non-compact manifolds. The resulting theory is applicable to ergodic theory and dynamical systems; to the zeta and L-functions of number theory or representation theory and modular forms; to Selberg-like zeta functions; andto the theory of regularized determinants familiar in physics and other parts of mathematics. Aside from presenting a systematic account of widely scattered results, the theory also provides new results. One part of the theory deals with complex analytic properties, and another part deals with Fourier analysis. Typical examples are given. This LNM provides basic results which are and will be used in further papers, starting with a general formulation of Cram r's theorem and explicit formulas. The exposition is self-contained (except for far-reaching examples), requiring only standard knowledge of analysis
Member of
Action
digitized
Cataloging source
SPLNM
http://library.link/vocab/creatorName
Jorgenson, Jay
Dewey number
  • 510 s
  • 512/.73
Index
no index present
LC call number
  • QA3
  • QA241
LC item number
.L28 no. 1564
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1927-2005
http://library.link/vocab/relatedWorkOrContributorName
Lang, Serge
Series statement
Lecture notes in mathematics,
Series volume
1564
http://library.link/vocab/subjectName
  • Number theory
  • Spectral theory (Mathematics)
  • Sequences (Mathematics)
  • Nombres, Théorie des
  • Spectre (Mathématiques)
  • Suites (Mathématiques)
  • Number theory
  • Sequences (Mathematics)
  • Spectral theory (Mathematics)
  • Zeta-functies
  • L-functies
  • Reeksontwikkelingen
  • Analytische Zahlentheorie
  • Regularisierte Reihe
  • Regularisiertes Produkt
Label
Basic analysis of regularized series and products, Jay Jorgenson, Serge Lang
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 119-122)
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Control code
277187879
Dimensions
unknown
Extent
1 online resource (122 pages).
Form of item
online
Isbn
9783540481935
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Reproduction note
Electronic reproduction.
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)277187879
System details
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Label
Basic analysis of regularized series and products, Jay Jorgenson, Serge Lang
Publication
Bibliography note
Includes bibliographical references (pages 119-122)
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Control code
277187879
Dimensions
unknown
Extent
1 online resource (122 pages).
Form of item
online
Isbn
9783540481935
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Reproduction note
Electronic reproduction.
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)277187879
System details
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.

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