The Resource Basic analysis of regularized series and products, Jay Jorgenson, Serge Lang
Basic analysis of regularized series and products, Jay Jorgenson, Serge Lang
Resource Information
The item Basic analysis of regularized series and products, Jay Jorgenson, Serge Lang represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Basic analysis of regularized series and products, Jay Jorgenson, Serge Lang represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 Summary
 Analytic number theory and part of the spectral theory of operators (differential, pseudodifferential, 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 noncompact manifolds. The resulting theory is applicable to ergodic theory and dynamical systems; to the zeta and Lfunctions of number theory or representation theory and modular forms; to Selberglike 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 selfcontained (except for farreaching examples), requiring only standard knowledge of analysis
 Language
 eng
 Extent
 1 online resource (122 pages).
 Isbn
 9783540481935
 Label
 Basic analysis of regularized series and products
 Title
 Basic analysis of regularized series and products
 Statement of responsibility
 Jay Jorgenson, Serge Lang
 Subject

 Lfuncties
 Nombres, Théorie des
 Number theory
 Number theory
 Number theory
 Reeksontwikkelingen
 Regularisierte Reihe
 Regularisiertes Produkt
 Sequences (Mathematics)
 Sequences (Mathematics)
 Sequences (Mathematics)
 Spectral theory (Mathematics)
 Spectral theory (Mathematics)
 Spectral theory (Mathematics)
 Spectre (Mathématiques)
 Suites (Mathématiques)
 Zetafuncties
 Analytische Zahlentheorie
 Language
 eng
 Summary
 Analytic number theory and part of the spectral theory of operators (differential, pseudodifferential, 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 noncompact manifolds. The resulting theory is applicable to ergodic theory and dynamical systems; to the zeta and Lfunctions of number theory or representation theory and modular forms; to Selberglike 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 selfcontained (except for farreaching examples), requiring only standard knowledge of analysis
 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
 19272005
 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)
 Zetafuncties
 Lfuncties
 Reeksontwikkelingen
 Analytische Zahlentheorie
 Regularisierte Reihe
 Regularisiertes Produkt
 Label
 Basic analysis of regularized series and products, Jay Jorgenson, Serge Lang
 Bibliography note
 Includes bibliographical references (pages 119122)
 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
 Bibliography note
 Includes bibliographical references (pages 119122)
 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.
Subject
 Lfuncties
 Nombres, Théorie des
 Number theory
 Number theory
 Number theory
 Reeksontwikkelingen
 Regularisierte Reihe
 Regularisiertes Produkt
 Sequences (Mathematics)
 Sequences (Mathematics)
 Sequences (Mathematics)
 Spectral theory (Mathematics)
 Spectral theory (Mathematics)
 Spectral theory (Mathematics)
 Spectre (Mathématiques)
 Suites (Mathématiques)
 Zetafuncties
 Analytische Zahlentheorie
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Basicanalysisofregularizedseriesand/HDdrIVbEl9Y/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Basicanalysisofregularizedseriesand/HDdrIVbEl9Y/">Basic analysis of regularized series and products, Jay Jorgenson, Serge Lang</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>