Harmonic Functions on Groups and Fourier Algebras
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...
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| Autors principals: | , |
|---|---|
| Format: | Livre numérique |
| Idioma: | Anglais |
| Publicat: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Col·lecció: | Lecture notes in mathematics
1782 |
| Matèries: | |
| Accés en línia: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Harmonic functions on groups and Fourier algebras, Cho-Ho Chu, Anthony To-Ming Lau, 2002, Berlin, Springer, 1 vol. (100 p.), Lecture notes in mathematics, 3-540-43595-6 • Harmonic Functions on Groups and Fourier Algebras, Texte imprimé, 9783662200254 |
| LEADER | 03784nam a22004697a 4500 | ||
|---|---|---|---|
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| 020 | |a 9783540477938 (PDF) | ||
| 041 | 0 | |a eng | |
| 082 | |a 510 | ||
| 100 | 1 | |a Chu, Cho-Ho. | |
| 245 | 1 | 0 | |a Harmonic Functions on Groups and Fourier Algebras |c Cho-Ho Chu, Anthony To-Ming Lau. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1782 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a 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. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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. | ||
| 650 | |a Groupes localement compacts | ||
| 650 | |a Fonctions harmoniques | ||
| 650 | |a Séries de Fourier | ||
| 650 | |a Distribution de Poisson | ||
| 650 | |a Équations intégrales | ||
| 650 | |a Analyse harmonique (mathématiques) | ||
| 650 | |a Mathématiques | ||
| 650 | |a Fonctions de plusieurs variables complexes | ||
| 650 | |a Analyse fonctionnelle | ||
| 650 | |a Théorie du potentiel | ||
| 650 | |a Groupes topologiques | ||
| 700 | 1 | |a Lau, Anthony To-Ming, |d 1943-...., |c mathématicien. |4 aut | |
| 776 | 0 | |0 066850606 |t Harmonic functions on groups and Fourier algebras |f Cho-Ho Chu, Anthony To-Ming Lau |d 2002 |c Berlin |n Springer |p 1 vol. (100 p.) |s Lecture notes in mathematics |z 3-540-43595-6 | |
| 776 | 0 | |t Harmonic Functions on Groups and Fourier Algebras |b Texte imprimé |z 9783662200254 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/b83280 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-69NSW45J-2 |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750667745 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/b83280 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:754016862 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/b83280 |z Accès INSA CVL | |
| 997 | |0 970014 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||