skip to content
Manifolds with cusps of rank one : spectral theory and L²-index theorem Preview this item
ClosePreview this item
Checking...

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

Author: Werner Müller
Publisher: Berlin ; New York : Springer-Verlag, ©1987.
Series: Lecture notes in mathematics (Springer-Verlag), 1244.
Edition/Format:   eBook : Document : EnglishView all editions and formats
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  Read more...
Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Genre/Form: Electronic books
Additional Physical Format: Print version:
Müller, Werner, 1949-
Manifolds with cusps of rank one.
Berlin ; New York : Springer-Verlag, ©1987
(DLC) 87004953
(OCoLC)15488633
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Werner Müller
ISBN: 9783540477624 3540477624
OCLC Number: 298580076
Reproduction Notes: Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2010. MiAaHDL
Description: 1 online resource (ix, 158 pages).
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.
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.
Series Title: Lecture notes in mathematics (Springer-Verlag), 1244.
Responsibility: Werner Müller.

Abstract:

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  Read more...

Reviews

User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.
Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/298580076> # Manifolds with cusps of rank one : spectral theory and L²-index theorem
    a schema:Book, schema:CreativeWork, schema:MediaObject ;
    library:oclcnum "298580076" ;
    library:placeOfPublication <http://id.loc.gov/vocabulary/countries/gw> ;
    library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/367870142#Place/berlin> ; # Berlin
    library:placeOfPublication <http://dbpedia.org/resource/New_York_City> ; # New York
    schema:about <http://experiment.worldcat.org/entity/work/data/367870142#Topic/warmeleitungsgleichung> ; # Wärmeleitungsgleichung
    schema:about <http://id.worldcat.org/fast/968961> ; # Index theorems
    schema:about <http://experiment.worldcat.org/entity/work/data/367870142#Topic/spectre_mathematiques> ; # Spectre (Mathématiques)
    schema:about <http://id.worldcat.org/fast/1007726> ; # Manifolds (Mathematics)
    schema:about <http://experiment.worldcat.org/entity/work/data/367870142#Topic/ruckkehrpunkt> ; # Rückkehrpunkt
    schema:about <http://experiment.worldcat.org/entity/work/data/367870142#Topic/theoremes_d_indices> ; # Théorèmes d'indices
    schema:about <http://experiment.worldcat.org/entity/work/data/367870142#Topic/elliptischer_differentialoperator> ; # Elliptischer Differentialoperator
    schema:about <http://experiment.worldcat.org/entity/work/data/367870142#Topic/index_theorie_de_l_mathematiques> ; # Index, Théorie de l' (mathématiques)
    schema:about <http://experiment.worldcat.org/entity/work/data/367870142#Topic/spektraltheorie> ; # Spektraltheorie
    schema:about <http://experiment.worldcat.org/entity/work/data/367870142#Topic/theorie_spectrale_mathematiques> ; # Théorie spectrale (mathématiques)
    schema:about <http://experiment.worldcat.org/entity/work/data/367870142#Topic/indextheorie> ; # Indextheorie
    schema:about <http://dewey.info/class/510/e19/> ;
    schema:about <http://experiment.worldcat.org/entity/work/data/367870142#Topic/mannigfaltigkeit> ; # Mannigfaltigkeit
    schema:about <http://experiment.worldcat.org/entity/work/data/367870142#Topic/varietes_mathematiques> ; # Variétés (mathématiques)
    schema:about <http://id.worldcat.org/fast/1129072> ; # Spectral theory (Mathematics)
    schema:about <http://experiment.worldcat.org/entity/work/data/367870142#Topic/indextheorem> ; # Indextheorem
    schema:about <http://experiment.worldcat.org/entity/work/data/367870142#Topic/lokal_symmetrischer_raum> ; # Lokal symmetrischer Raum
    schema:bookFormat schema:EBook ;
    schema:copyrightYear "1987" ;
    schema:creator <http://viaf.org/viaf/47848555> ; # Werner Müller
    schema:datePublished "1987" ;
    schema:description "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."@en ;
    schema:description "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."@en ;
    schema:exampleOfWork <http://worldcat.org/entity/work/id/367870142> ;
    schema:genre "Electronic books"@en ;
    schema:inLanguage "en" ;
    schema:isPartOf <http://experiment.worldcat.org/entity/work/data/367870142#Series/lecture_notes_in_mathematics_springer_verlag> ; # Lecture notes in mathematics (Springer-Verlag) ;
    schema:isPartOf <http://worldcat.org/issn/0075-8434> ; # Lecture notes in mathematics,
    schema:isSimilarTo <http://www.worldcat.org/oclc/15488633> ;
    schema:name "Manifolds with cusps of rank one : spectral theory and L²-index theorem"@en ;
    schema:productID "298580076" ;
    schema:publication <http://www.worldcat.org/title/-/oclc/298580076#PublicationEvent/berlin_new_york_springer_verlag_1987> ;
    schema:publisher <http://experiment.worldcat.org/entity/work/data/367870142#Agent/springer_verlag> ; # Springer-Verlag
    schema:url <http://catalog.hathitrust.org/api/volumes/oclc/15488633.html> ;
    schema:url <http://books.google.com/books?id=FfQ_AQAAIAAJ> ;
    schema:url <http://link.springer.com/10.1007/BFb0077660> ;
    schema:url <http://www.springerlink.com/openurl.asp?genre=issue&issn=0075-8434&volume=1244> ;
    schema:url <http://dx.doi.org/10.1007/BFb0077660> ;
    schema:url <https://0-link-springer-com.pugwash.lib.warwick.ac.uk/10.1007/BFb0077660> ;
    schema:url <http://dx.doi.org/10.1007/BFb0072744> ;
    schema:workExample <http://worldcat.org/isbn/9783540477624> ;
    wdrs:describedby <http://www.worldcat.org/title/-/oclc/298580076> ;
    .


Related Entities

<http://dbpedia.org/resource/New_York_City> # New York
    a schema:Place ;
    schema:name "New York" ;
    .

<http://experiment.worldcat.org/entity/work/data/367870142#Agent/springer_verlag> # Springer-Verlag
    a bgn:Agent ;
    schema:name "Springer-Verlag" ;
    .

<http://experiment.worldcat.org/entity/work/data/367870142#Series/lecture_notes_in_mathematics_springer_verlag> # Lecture notes in mathematics (Springer-Verlag) ;
    a bgn:PublicationSeries ;
    schema:hasPart <http://www.worldcat.org/oclc/298580076> ; # Manifolds with cusps of rank one : spectral theory and L²-index theorem
    schema:name "Lecture notes in mathematics (Springer-Verlag) ;" ;
    .

<http://experiment.worldcat.org/entity/work/data/367870142#Topic/elliptischer_differentialoperator> # Elliptischer Differentialoperator
    a schema:Intangible ;
    schema:name "Elliptischer Differentialoperator"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/367870142#Topic/index_theorie_de_l_mathematiques> # Index, Théorie de l' (mathématiques)
    a schema:Intangible ;
    schema:name "Index, Théorie de l' (mathématiques)"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/367870142#Topic/lokal_symmetrischer_raum> # Lokal symmetrischer Raum
    a schema:Intangible ;
    schema:name "Lokal symmetrischer Raum"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/367870142#Topic/spectre_mathematiques> # Spectre (Mathématiques)
    a schema:Intangible ;
    schema:name "Spectre (Mathématiques)"@fr ;
    .

<http://experiment.worldcat.org/entity/work/data/367870142#Topic/theoremes_d_indices> # Théorèmes d'indices
    a schema:Intangible ;
    schema:name "Théorèmes d'indices"@fr ;
    .

<http://experiment.worldcat.org/entity/work/data/367870142#Topic/theorie_spectrale_mathematiques> # Théorie spectrale (mathématiques)
    a schema:Intangible ;
    schema:name "Théorie spectrale (mathématiques)"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/367870142#Topic/varietes_mathematiques> # Variétés (mathématiques)
    a schema:Intangible ;
    schema:name "Variétés (mathématiques)"@en ;
    schema:name "Variétés (Mathématiques)"@fr ;
    .

<http://experiment.worldcat.org/entity/work/data/367870142#Topic/warmeleitungsgleichung> # Wärmeleitungsgleichung
    a schema:Intangible ;
    schema:name "Wärmeleitungsgleichung"@en ;
    .

<http://id.worldcat.org/fast/1007726> # Manifolds (Mathematics)
    a schema:Intangible ;
    schema:name "Manifolds (Mathematics)"@en ;
    .

<http://id.worldcat.org/fast/1129072> # Spectral theory (Mathematics)
    a schema:Intangible ;
    schema:name "Spectral theory (Mathematics)"@en ;
    .

<http://id.worldcat.org/fast/968961> # Index theorems
    a schema:Intangible ;
    schema:name "Index theorems"@en ;
    .

<http://viaf.org/viaf/47848555> # Werner Müller
    a schema:Person ;
    schema:birthDate "1949" ;
    schema:familyName "Müller" ;
    schema:givenName "Werner" ;
    schema:name "Werner Müller" ;
    .

<http://worldcat.org/isbn/9783540477624>
    a schema:ProductModel ;
    schema:isbn "3540477624" ;
    schema:isbn "9783540477624" ;
    .

<http://worldcat.org/issn/0075-8434> # Lecture notes in mathematics,
    a bgn:PublicationSeries ;
    schema:hasPart <http://www.worldcat.org/oclc/298580076> ; # Manifolds with cusps of rank one : spectral theory and L²-index theorem
    schema:issn "0075-8434" ;
    schema:name "Lecture notes in mathematics," ;
    .

<http://www.worldcat.org/oclc/15488633>
    a schema:CreativeWork ;
    rdfs:label "Manifolds with cusps of rank one." ;
    schema:description "Print version:" ;
    schema:isSimilarTo <http://www.worldcat.org/oclc/298580076> ; # Manifolds with cusps of rank one : spectral theory and L²-index theorem
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.