skip to content
Harmonic functions on groups and Fourier algebras Preview this item
ClosePreview this item
Checking...

Harmonic functions on groups and Fourier algebras

Author: Cho-Ho Chu; Anthony To-Ming Lau
Publisher: Berlin ; New York : Springer, ©2002.
Series: Lecture notes in mathematics (Springer-Verlag), 1782.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
This research monograph introduces some new aspects to the theory of harmonic functions and related topics. The authors study the analytic algebraic structures of the space of bounded harmonic functions on locally compact groups and its non-commutative analogue, the space of harmonic functionals on Fourier algebras. Both spaces are shown to be the range of a contractive projection on a von Neumann algebra and  Read more...
Rating:

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

Subjects
More like this

 

Find a copy online

Find a copy in the library

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

Details

Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Cho-Ho Chu; Anthony To-Ming Lau
ISBN: 3540435956 9783540435952
OCLC Number: 49531455
Description: 100 pages ; 24 cm.
Contents: 1. Introduction --
2. Harmonic functions on locally compact groups: 2.1. Preliminaries and notation. 2.2. Poisson representation of harmonic functions. 2.3. Semigroup structures of the Poisson space. 2.4. Almost periodic harmonic functions. 2.5. Distal harmonic functions. 2.6. Transitive group actions on Poisson spaces. 2.7. Examples --
3. Harmonic functionals on Fourier algebras: 3.1. Fourier algebras. 3.2. Harmonic functionals and associated ideals. 3.3. Jordan structures of harmonic functionals. 3.4. Classification of harmonic functionals --
References --
List of symbols --
Index.
Series Title: Lecture notes in mathematics (Springer-Verlag), 1782.
Responsibility: Cho-Ho Chu, Anthony To-Ming Lau.
More information:

Abstract:

The authors study the analytic algebraic structures of the space of bounded harmonic functions on locally compact groups and its non-commutative analogue, the space of harmonic functionals on Fourier  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/49531455> # Harmonic functions on groups and Fourier algebras
    a schema:Book, schema:CreativeWork ;
    library:oclcnum "49531455" ;
    library:placeOfPublication <http://id.loc.gov/vocabulary/countries/gw> ;
    library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/1074373#Place/berlin> ; # Berlin
    library:placeOfPublication <http://dbpedia.org/resource/New_York_City> ; # New York
    schema:about <http://experiment.worldcat.org/entity/work/data/1074373#Topic/banach_algebres_de> ; # Banach, Algèbres de
    schema:about <http://dewey.info/class/510/e21/> ;
    schema:about <http://experiment.worldcat.org/entity/work/data/1074373#Topic/fonctions_harmoniques> ; # Fonctions harmoniques
    schema:about <http://id.worldcat.org/fast/951500> ; # Harmonic functions
    schema:about <http://id.worldcat.org/fast/1001672> ; # Locally compact groups
    schema:about <http://experiment.worldcat.org/entity/work/data/1074373#Topic/groupes_localement_compacts> ; # Groupes localement compacts
    schema:about <http://id.worldcat.org/fast/826385> ; # Banach algebras
    schema:about <http://experiment.worldcat.org/entity/work/data/1074373#Topic/harmonische_analyse> ; # Harmonische analyse
    schema:bookFormat bgn:PrintBook ;
    schema:contributor <http://viaf.org/viaf/64228752> ; # Anthony To-Ming Lau
    schema:copyrightYear "2002" ;
    schema:creator <http://viaf.org/viaf/74073975> ; # Cho-Ho Chu
    schema:datePublished "2002" ;
    schema:description "This research monograph introduces some new aspects to the theory of harmonic functions and related topics. The authors study the analytic algebraic structures of the space of bounded harmonic functions on locally compact groups and its non-commutative analogue, the space of harmonic functionals on Fourier algebras. Both spaces are shown to be the range of a contractive projection on a von Neumann algebra and therefore admit Jordan algebraic structures. This provides a natural setting to apply recent results from non-associative analysis, semigroups and Fourier algebras. Topics discussed include Poisson representations, Poisson spaces, quotients of Fourier algebras and the Murray-von Neumann classification of harmonic functionals."@en ;
    schema:description "1. Introduction -- 2. Harmonic functions on locally compact groups: 2.1. Preliminaries and notation. 2.2. Poisson representation of harmonic functions. 2.3. Semigroup structures of the Poisson space. 2.4. Almost periodic harmonic functions. 2.5. Distal harmonic functions. 2.6. Transitive group actions on Poisson spaces. 2.7. Examples -- 3. Harmonic functionals on Fourier algebras: 3.1. Fourier algebras. 3.2. Harmonic functionals and associated ideals. 3.3. Jordan structures of harmonic functionals. 3.4. Classification of harmonic functionals -- References -- List of symbols -- Index."@en ;
    schema:exampleOfWork <http://worldcat.org/entity/work/id/1074373> ;
    schema:inLanguage "en" ;
    schema:isPartOf <http://experiment.worldcat.org/entity/work/data/1074373#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:name "Harmonic functions on groups and Fourier algebras"@en ;
    schema:productID "49531455" ;
    schema:publication <http://www.worldcat.org/title/-/oclc/49531455#PublicationEvent/berlin_new_york_springer_2002> ;
    schema:publisher <http://experiment.worldcat.org/entity/work/data/1074373#Agent/springer> ; # Springer
    schema:url <http://catdir.loc.gov/catdir/enhancements/fy0817/2002021845-t.html> ;
    schema:url <http://swbplus.bsz-bw.de/bsz099145731cov.htm> ;
    schema:url <http://digitool.hbz-nrw.de:1801/webclient/DeliveryManager?pid=1476154&custom%5Fatt%5F2=simple%5Fviewer> ;
    schema:url <http://swbplus.bsz-bw.de/bsz099145731kap.htm> ;
    schema:url <http://swbplus.bsz-bw.de/bsz099145731inh.htm> ;
    schema:url <http://qe2a-proxy.mun.ca/Login?url=http://www.springerlink.com/openurl.asp?genre=issue&issn=0075-8434&volume=1782> ;
    schema:url <http://www.springerlink.com/content/k0x3g0u2g4a9> ;
    schema:workExample <http://worldcat.org/isbn/9783540435952> ;
    umbel:isLike <http://bnb.data.bl.uk/id/resource/GBA239883> ;
    umbel:isLike <http://d-nb.info/964112698> ;
    wdrs:describedby <http://www.worldcat.org/title/-/oclc/49531455> ;
    .


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/1074373#Series/lecture_notes_in_mathematics_springer_verlag> # Lecture notes in mathematics (Springer-Verlag) ;
    a bgn:PublicationSeries ;
    schema:hasPart <http://www.worldcat.org/oclc/49531455> ; # Harmonic functions on groups and Fourier algebras
    schema:name "Lecture notes in mathematics (Springer-Verlag) ;" ;
    .

<http://experiment.worldcat.org/entity/work/data/1074373#Topic/banach_algebres_de> # Banach, Algèbres de
    a schema:Intangible ;
    schema:name "Banach, Algèbres de"@fr ;
    .

<http://experiment.worldcat.org/entity/work/data/1074373#Topic/fonctions_harmoniques> # Fonctions harmoniques
    a schema:Intangible ;
    schema:name "Fonctions harmoniques"@fr ;
    .

<http://experiment.worldcat.org/entity/work/data/1074373#Topic/groupes_localement_compacts> # Groupes localement compacts
    a schema:Intangible ;
    schema:name "Groupes localement compacts"@fr ;
    .

<http://experiment.worldcat.org/entity/work/data/1074373#Topic/harmonische_analyse> # Harmonische analyse
    a schema:Intangible ;
    schema:name "Harmonische analyse"@en ;
    .

<http://id.worldcat.org/fast/1001672> # Locally compact groups
    a schema:Intangible ;
    schema:name "Locally compact groups"@en ;
    .

<http://id.worldcat.org/fast/826385> # Banach algebras
    a schema:Intangible ;
    schema:name "Banach algebras"@en ;
    .

<http://id.worldcat.org/fast/951500> # Harmonic functions
    a schema:Intangible ;
    schema:name "Harmonic functions"@en ;
    .

<http://viaf.org/viaf/64228752> # Anthony To-Ming Lau
    a schema:Person ;
    schema:familyName "Lau" ;
    schema:givenName "Anthony To-Ming" ;
    schema:name "Anthony To-Ming Lau" ;
    .

<http://viaf.org/viaf/74073975> # Cho-Ho Chu
    a schema:Person ;
    schema:familyName "Chu" ;
    schema:givenName "Cho-Ho" ;
    schema:name "Cho-Ho Chu" ;
    .

<http://worldcat.org/isbn/9783540435952>
    a schema:ProductModel ;
    schema:isbn "3540435956" ;
    schema:isbn "9783540435952" ;
    .

<http://worldcat.org/issn/0075-8434> # Lecture notes in mathematics,
    a bgn:PublicationSeries ;
    schema:hasPart <http://www.worldcat.org/oclc/49531455> ; # Harmonic functions on groups and Fourier algebras
    schema:issn "0075-8434" ;
    schema:name "Lecture notes in mathematics," ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

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