Coverart for item
The Resource Manifolds with cusps of rank one : spectral theory and L2-index theorem, Werner Müller

Manifolds with cusps of rank one : spectral theory and L2-index theorem, Werner Müller

Label
Manifolds with cusps of rank one : spectral theory and L2-index theorem
Title
Manifolds with cusps of rank one
Title remainder
spectral theory and L2-index theorem
Statement of responsibility
Werner Müller
Creator
Subject
Language
eng
Summary
The manifolds investigated in this monograph are generalizations of (XX)-rank one locally symmetric spaces. In the first part of the book the author develops spectral theory for the differential Laplacian operator associated to the so-called generalized Dirac operators on manifolds with cusps of rank one. This includes the case of spinor Laplacians on (XX)-rank one locally symmetric spaces. The time-dependent approach to scattering theory is taken to derive the main results about the spectral resolution of these operators. The second part of the book deals with the derivation of an index formula for generalized Dirac operators on manifolds with cusps of rank one. This index formula is used to prove a conjecture of Hirzebruch concerning the relation of signature defects of cusps of Hilbert modular varieties and special values of L-series. This book is intended for readers working in the field of automorphic forms and analysis on non-compact Riemannian manifolds, and assumes a knowledge of PDE, scattering theory and harmonic analysis on semisimple Lie groups
Member of
Action
digitized
Cataloging source
SPLNM
http://library.link/vocab/creatorDate
1949-
http://library.link/vocab/creatorName
Müller, Werner
Dewey number
  • 510 s
  • 514/.223
Index
index present
LC call number
  • QA3
  • QA614.92
LC item number
.L28 no. 1244
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Lecture notes in mathematics,
Series volume
1244
http://library.link/vocab/subjectName
  • Index theorems
  • Spectral theory (Mathematics)
  • Manifolds (Mathematics)
  • Théorèmes d'indices
  • Spectre (Mathématiques)
  • Variétés (Mathématiques)
  • Index theorems
  • Manifolds (Mathematics)
  • Spectral theory (Mathematics)
  • Indextheorie
  • Lokal symmetrischer Raum
  • Mannigfaltigkeit
  • Wärmeleitungsgleichung
  • Indextheorem
  • Rückkehrpunkt
  • Elliptischer Differentialoperator
  • Spektraltheorie
  • Index, Théorie de l' (mathématiques)
  • Théorie spectrale (mathématiques)
  • Variétés (mathématiques)
Label
Manifolds with cusps of rank one : spectral theory and L2-index theorem, Werner Müller
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 150-154) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Preliminaries -- Cusps of rank one -- The heat equation on the cusp -- The Neumann Laplacian on the cusp -- Manifolds with cusps of rank one -- The spectral resolution of H -- The heat kernel -- The Eisenstein functions -- The spectral shift function -- The L -index of generalized Dirac operators -- The unipotent contribution to the index -- The Hirzebruch conjecture -- References -- Subject index -- List of notations
Control code
298580076
Dimensions
unknown
Extent
1 online resource (ix, 158 pages).
Form of item
online
Isbn
9783540477624
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)298580076
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
Manifolds with cusps of rank one : spectral theory and L2-index theorem, Werner Müller
Publication
Bibliography note
Includes bibliographical references (pages 150-154) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Preliminaries -- Cusps of rank one -- The heat equation on the cusp -- The Neumann Laplacian on the cusp -- Manifolds with cusps of rank one -- The spectral resolution of H -- The heat kernel -- The Eisenstein functions -- The spectral shift function -- The L -index of generalized Dirac operators -- The unipotent contribution to the index -- The Hirzebruch conjecture -- References -- Subject index -- List of notations
Control code
298580076
Dimensions
unknown
Extent
1 online resource (ix, 158 pages).
Form of item
online
Isbn
9783540477624
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)298580076
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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