skip to content
The fourfold way in real analysis : an alternative to the metaplectic representation Preview this item
ClosePreview this item
Checking...

The fourfold way in real analysis an alternative to the metaplectic representation /
The fourfold way in real analysis : an alternative to the metaplectic representation

Author: Andr�e Unterberger. ; André Unterberger
Publisher: Birkh�auser Verlag, Basel ; Boston : Birkhäuser Verlag, ©2006.
Series: Progress in mathematics (Boston, Mass.), v. 250.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Publication:Springer e-books
Summary:
The fourfold way starts with the consideration of entire functions of one variable satisfying specific estimates at infinity, both on the real line and the pure imaginary line. A major part of classical analysis, mainly that which deals with Fourier analysis and related concepts, can then be given a parameter-dependent analogue. The parameter is some real number modulo 2, the classical case being obtained when it is  Read more...
Rating:

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

Subjects
More like this

Find a copy online

Links to this item

Find a copy in the library

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

Details

Genre/Form: Electronic books
Additional Physical Format: Print version:
Unterberger, André.
Fourfold way in real analysis.
Basel ; Boston : Birkhäuser Verlag, ©2006
(DLC) 2006042730
(OCoLC)64592222
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Andr�e Unterberger. ; André Unterberger
ISBN: 9783764375454 3764375450 3764375442 0817675442 9780817675448 9783764375447
OCLC Number: 262693978
Description: 1 online resource (x, 220 pages).
Contents: The One-dimensional Anaplectic Representation --
The n-dimensional Anaplectic Analysis --
Towards the Anaplectic Symbolic Calculi --
The One-dimensional Case Revisited.
Series Title: Progress in mathematics (Boston, Mass.), v. 250.
Responsibility: André Unterberger.
More information:

Abstract:

Suitable for researchers working in analysis in general, in harmonic analysis, or in mathematical physics.  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/262693978> # The fourfold way in real analysis : an alternative to the metaplectic representation
    a schema:Book, schema:MediaObject, schema:CreativeWork ;
    library:oclcnum "262693978" ;
    library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/797225458#Place/basel> ; # Basel
    library:placeOfPublication <http://id.loc.gov/vocabulary/countries/sz> ;
    library:placeOfPublication <http://dbpedia.org/resource/Boston> ; # Boston
    schema:about <http://experiment.worldcat.org/entity/work/data/797225458#Topic/topological_groups_lie_groups> ; # Topological Groups, Lie Groups
    schema:about <http://id.worldcat.org/fast/973725> ; # Inner product spaces
    schema:about <http://dewey.info/class/515.2433/e22/> ;
    schema:about <http://experiment.worldcat.org/entity/work/data/797225458#Topic/lie_groupes_de> ; # Lie, Groupes de
    schema:about <http://id.worldcat.org/fast/1060409> ; # Phase space (Statistical physics)
    schema:about <http://experiment.worldcat.org/entity/work/data/797225458#Topic/espace_des_phases_physique_statistique> ; # Espace des phases (Physique statistique)
    schema:about <http://experiment.worldcat.org/entity/work/data/797225458#Topic/analyse_harmonique> ; # Analyse harmonique
    schema:about <http://experiment.worldcat.org/entity/work/data/797225458#Topic/mathematical_methods_in_physics> ; # Mathematical Methods in Physics
    schema:about <http://experiment.worldcat.org/entity/work/data/797225458#Topic/fourier_analyse_de> ; # Fourier, Analyse de
    schema:about <http://experiment.worldcat.org/entity/work/data/797225458#Topic/espaces_a_produit_scalaire> ; # Espaces à produit scalaire
    schema:about <http://experiment.worldcat.org/entity/work/data/797225458#Topic/functions_of_a_complex_variable> ; # Functions of a Complex Variable
    schema:about <http://id.worldcat.org/fast/998135> ; # Lie groups
    schema:about <http://experiment.worldcat.org/entity/work/data/797225458#Topic/fourier_analysis> ; # Fourier Analysis
    schema:about <http://experiment.worldcat.org/entity/work/data/797225458#Topic/abstract_harmonic_analysis> ; # Abstract Harmonic Analysis
    schema:about <http://experiment.worldcat.org/entity/work/data/797225458#Topic/mathematics> ; # Mathematics
    schema:about <http://id.worldcat.org/fast/951490> ; # Harmonic analysis
    schema:about <http://id.worldcat.org/fast/933401> ; # Fourier analysis
    schema:about <http://experiment.worldcat.org/entity/work/data/797225458#Topic/mathematics_infinity> ; # MATHEMATICS--Infinity
    schema:bookFormat schema:EBook ;
    schema:copyrightYear "2006" ;
    schema:creator <http://viaf.org/viaf/71613373> ; # André Unterberger
    schema:datePublished "2006" ;
    schema:description "The fourfold way starts with the consideration of entire functions of one variable satisfying specific estimates at infinity, both on the real line and the pure imaginary line. A major part of classical analysis, mainly that which deals with Fourier analysis and related concepts, can then be given a parameter-dependent analogue. The parameter is some real number modulo 2, the classical case being obtained when it is an integer. The space L2(R) has to give way to a pseudo-Hilbert space, on which a new translation-invariant integral still exists. All this extends to the n-dimensional case, and in the alternative to the metaplectic representation so obtained, it is the space of Lagrangian subspaces of R2n that plays the usual role of the complex Siegel domain. In fourfold analysis, the spectrum of the harmonic oscillator can be an arbitrary class modulo the integers. Even though the whole development touches upon notions of representation theory, pseudodifferential operator theory, and algebraic geometry, it remains completely elementary in all these aspects. The book should be of interest to researchers working in analysis in general, in harmonic analysis, or in mathematical physics."@en ;
    schema:description "The One-dimensional Anaplectic Representation -- The n-dimensional Anaplectic Analysis -- Towards the Anaplectic Symbolic Calculi -- The One-dimensional Case Revisited."@en ;
    schema:exampleOfWork <http://worldcat.org/entity/work/id/797225458> ;
    schema:genre "Electronic books"@en ;
    schema:inLanguage "en" ;
    schema:isPartOf <http://experiment.worldcat.org/entity/work/data/797225458#Series/progress_in_mathematics_boston_mass> ; # Progress in mathematics (Boston, Mass.) ;
    schema:isPartOf <http://experiment.worldcat.org/entity/work/data/797225458#Series/progress_in_mathematics> ; # Progress in mathematics ;
    schema:isSimilarTo <http://www.worldcat.org/oclc/64592222> ;
    schema:name "The fourfold way in real analysis : an alternative to the metaplectic representation"@en ;
    schema:productID "262693978" ;
    schema:publication <http://www.worldcat.org/title/-/oclc/262693978#PublicationEvent/basel_boston_birkhauser_verlag_2006> ;
    schema:publisher <http://experiment.worldcat.org/entity/work/data/797225458#Agent/birkhauser_verlag> ; # Birkhäuser Verlag
    schema:url <http://public.eblib.com/choice/publicfullrecord.aspx?p=304761> ;
    schema:url <http://www.myilibrary.com?id=135016&ref=toc> ;
    schema:url <http://moxy.eclibrary.ca/login?url=http://ebookcentral.proquest.com/lib/oculnu-ebooks/detail.action?docID=304761> ;
    schema:url <http://proxy.library.carleton.ca/login?url=http://dx.doi.org/10.1007/3-7643-7545-0> ;
    schema:url <https://0-link-springer-com.pugwash.lib.warwick.ac.uk/10.1007/3-7643-7545-0> ;
    schema:url <http://dx.doi.org/10.1007/3-7643-7545-0> ;
    schema:url <http://link.springer.com/openurl?genre=book&isbn=978-3-7643-7544-7> ;
    schema:url <http://www.library.yorku.ca/eresolver/?id=1258328> ;
    schema:url <http://proxy.library.carleton.ca/login?url=http://books.scholarsportal.info/viewdoc.html?id=/ebooks/ebooks0/springer/2009-12-01/2/3764375450> ;
    schema:url <http://www.library.yorku.ca/eresolver/?id=1258327> ;
    schema:url <http://www.myilibrary.com?id=135016> ;
    schema:url <http://iclibezp1.cc.ic.ac.uk/login?url=http://dx.doi.org/10.1007/3-7643-7545-0> ;
    schema:url <http://rave.ohiolink.edu/ebooks/ebc/3764375450> ;
    schema:url <http://libproxy.uwyo.edu/login/?url=http://dx.doi.org/10.1007/3-7643-7545-0> ;
    schema:url <https://login.proxy.bib.uottawa.ca/login?url=http://ebookcentral.proquest.com/lib/ottawa/detail.action?docID=304761> ;
    schema:url <https://login.proxy.lib.strath.ac.uk/login?url=http://dx.doi.org/10.1007/3-7643-7545-0> ;
    schema:url <https://ebookcentral.proquest.com/lib/exeter/detail.action?docID=304761> ;
    schema:url <http://site.ebrary.com/id/10134163> ;
    schema:url <http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=163427> ;
    schema:url <http://www.springerlink.com/openurl.asp?genre=book&isbn=978-3-7643-7544-7> ;
    schema:url <https://ebookcentral.proquest.com/lib/stanford-ebooks/detail.action?docID=304761> ;
    schema:workExample <http://worldcat.org/isbn/9780817675448> ;
    schema:workExample <http://worldcat.org/isbn/9783764375447> ;
    schema:workExample <http://worldcat.org/isbn/9783764375454> ;
    wdrs:describedby <http://www.worldcat.org/title/-/oclc/262693978> ;
    .


Related Entities

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

<http://experiment.worldcat.org/entity/work/data/797225458#Agent/birkhauser_verlag> # Birkhäuser Verlag
    a bgn:Agent ;
    schema:name "Birkhäuser Verlag" ;
    .

<http://experiment.worldcat.org/entity/work/data/797225458#Series/progress_in_mathematics> # Progress in mathematics ;
    a bgn:PublicationSeries ;
    schema:hasPart <http://www.worldcat.org/oclc/262693978> ; # The fourfold way in real analysis : an alternative to the metaplectic representation
    schema:name "Progress in mathematics ;" ;
    .

<http://experiment.worldcat.org/entity/work/data/797225458#Series/progress_in_mathematics_boston_mass> # Progress in mathematics (Boston, Mass.) ;
    a bgn:PublicationSeries ;
    schema:hasPart <http://www.worldcat.org/oclc/262693978> ; # The fourfold way in real analysis : an alternative to the metaplectic representation
    schema:name "Progress in mathematics (Boston, Mass.) ;" ;
    .

<http://experiment.worldcat.org/entity/work/data/797225458#Topic/abstract_harmonic_analysis> # Abstract Harmonic Analysis
    a schema:Intangible ;
    schema:name "Abstract Harmonic Analysis"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/797225458#Topic/analyse_harmonique> # Analyse harmonique
    a schema:Intangible ;
    schema:name "Analyse harmonique"@fr ;
    .

<http://experiment.worldcat.org/entity/work/data/797225458#Topic/espace_des_phases_physique_statistique> # Espace des phases (Physique statistique)
    a schema:Intangible ;
    schema:name "Espace des phases (Physique statistique)"@fr ;
    .

<http://experiment.worldcat.org/entity/work/data/797225458#Topic/espaces_a_produit_scalaire> # Espaces à produit scalaire
    a schema:Intangible ;
    schema:name "Espaces à produit scalaire"@fr ;
    .

<http://experiment.worldcat.org/entity/work/data/797225458#Topic/fourier_analyse_de> # Fourier, Analyse de
    a schema:Intangible ;
    schema:name "Fourier, Analyse de"@fr ;
    .

<http://experiment.worldcat.org/entity/work/data/797225458#Topic/functions_of_a_complex_variable> # Functions of a Complex Variable
    a schema:Intangible ;
    schema:name "Functions of a Complex Variable"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/797225458#Topic/mathematical_methods_in_physics> # Mathematical Methods in Physics
    a schema:Intangible ;
    schema:name "Mathematical Methods in Physics"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/797225458#Topic/mathematics_infinity> # MATHEMATICS--Infinity
    a schema:Intangible ;
    schema:name "MATHEMATICS--Infinity"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/797225458#Topic/topological_groups_lie_groups> # Topological Groups, Lie Groups
    a schema:Intangible ;
    schema:name "Topological Groups, Lie Groups"@en ;
    .

<http://id.worldcat.org/fast/1060409> # Phase space (Statistical physics)
    a schema:Intangible ;
    schema:name "Phase space (Statistical physics)"@en ;
    .

<http://id.worldcat.org/fast/933401> # Fourier analysis
    a schema:Intangible ;
    schema:name "Fourier analysis"@en ;
    .

<http://id.worldcat.org/fast/951490> # Harmonic analysis
    a schema:Intangible ;
    schema:name "Harmonic analysis"@en ;
    .

<http://id.worldcat.org/fast/973725> # Inner product spaces
    a schema:Intangible ;
    schema:name "Inner product spaces"@en ;
    .

<http://id.worldcat.org/fast/998135> # Lie groups
    a schema:Intangible ;
    schema:name "Lie groups"@en ;
    .

<http://link.springer.com/openurl?genre=book&isbn=978-3-7643-7544-7>
    rdfs:comment "Springer eBooks (Mathematics and Statistics 2006)" ;
    .

<http://moxy.eclibrary.ca/login?url=http://ebookcentral.proquest.com/lib/oculnu-ebooks/detail.action?docID=304761>
    rdfs:comment "Access restricted to Harris Learning Library use and to students, faculty and staff of Nipissing University and Canadore College." ;
    .

<http://viaf.org/viaf/71613373> # André Unterberger
    a schema:Person ;
    schema:familyName "Unterberger" ;
    schema:givenName "André" ;
    schema:name "André Unterberger" ;
    .

<http://worldcat.org/isbn/9780817675448>
    a schema:ProductModel ;
    schema:isbn "0817675442" ;
    schema:isbn "9780817675448" ;
    .

<http://worldcat.org/isbn/9783764375447>
    a schema:ProductModel ;
    schema:isbn "3764375442" ;
    schema:isbn "9783764375447" ;
    .

<http://worldcat.org/isbn/9783764375454>
    a schema:ProductModel ;
    schema:isbn "3764375450" ;
    schema:isbn "9783764375454" ;
    .

<http://www.library.yorku.ca/eresolver/?id=1258327>
    rdfs:comment "An electronic book accessible through the World Wide Web; click for information" ;
    .

<http://www.worldcat.org/oclc/64592222>
    a schema:CreativeWork ;
    rdfs:label "Fourfold way in real analysis." ;
    schema:description "Print version:" ;
    schema:isSimilarTo <http://www.worldcat.org/oclc/262693978> ; # The fourfold way in real analysis : an alternative to the metaplectic representation
    .

<http://www.worldcat.org/title/-/oclc/262693978>
    a genont:InformationResource, genont:ContentTypeGenericResource ;
    schema:about <http://www.worldcat.org/oclc/262693978> ; # The fourfold way in real analysis : an alternative to the metaplectic representation
    schema:dateModified "2018-12-13" ;
    void:inDataset <http://purl.oclc.org/dataset/WorldCat> ;
    .

<https://ebookcentral.proquest.com/lib/stanford-ebooks/detail.action?docID=304761>
    rdfs:comment "Available to Stanford-affiliated users." ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

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