Shift-invariant Uniform Algebras on Groups
Shift-invariant algebras are uniform algebras of continuous functions de?ned on compactconnectedgroups,thatareinvariantundershiftsbygroupelements. They areoutgrowths of generalized analytic functions, introduced almost ?fty yearsago by Arens and Singer, and are the central object of this book. Assoc...
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| Prif Awduron: | , , |
|---|---|
| Fformat: | Livre numérique |
| Iaith: | Anglais |
| Cyhoeddwyd: |
Basel :
Birkhäuser Basel : Springer e-books
[20..].
Cham : Springer Nature |
| Cyfres: | Monografie Matematyczne, Instytut Matematyczny Polskiel Akademii Nauk (IMPAN)
68 |
| Pynciau: | |
| Mynediad Ar-lein: | 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: | • Shift-invariant uniform algebras on groups, S.A. Grigoryan, T.V. Tonev, Basel, Birkhäuser, 2006, 1 vol. (IX-284 p.), Monografie matematyczne / Instytut Matematyczny PAN, 3-7643-7606-6 |
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| 100 | 1 | |a Grigoryan, Suren A. | |
| 245 | 1 | 0 | |a Shift-invariant Uniform Algebras on Groups |c by Suren A. Grigoryan, Thomas V. Tonev. |
| 260 | |a Basel : |b Birkhäuser Basel : |b Springer e-books. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Monografie Matematyczne, Instytut Matematyczny Polskiel Akademii Nauk (IMPAN) |v 68 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. p. [263]-269. Index | ||
| 505 | 1 | |a Banach algebras and uniform algebras Three classical families of functions Groups and semigroups Shift-invariant algebras on compact groups Extension of semicharacters and additive weights G-disc algebras Harmonicity on groups and G-discs Shift-invariant algebras and inductive limit algebras on groups | |
| 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 Shift-invariant algebras are uniform algebras of continuous functions de?ned on compactconnectedgroups,thatareinvariantundershiftsbygroupelements. They areoutgrowths of generalized analytic functions, introduced almost ?fty yearsago by Arens and Singer, and are the central object of this book. Associated algebras of almost periodic functions of real variables and of bounded analytic functions on the unit disc are also considered and carried along within the shift-invariant framework. The adopted general approach leads to non-standard perspectives, never-asked-before questions, and unexpected properties. Thebookisbasedmainlyonourquiterecent,someevenunpublished,results. Most of its basic notions and ideas originate in [T2]. Their further development, however, can be found in journal or preprint form only. Basic terminologyand standard properties of uniform algebrasarepresented in Chapter 1. Associated algebras, such as Bourgain algebras, polynomial ext- sions, and inductive limit algebras are introduced and discussed. At the end of the chapter we present recently found conditions for a mapping between uniform algebras to be an algebraic isomorphism. In Chapter 2 we give fundamentals, v- ious descriptions and standard properties of three classical families of functions p almost periodic functions of real variables, harmonic functions, andH -functions on the unit circle. Later on, in Chapter 7, we return to some of these families and extend them to arbitrary compact groups. Chapter 3 is a survey of basic prop- ties of topological groups, their characters, dual groups, functions and measures on them. We introduce also the instrumental for the sequel notion of weak and strong hull of a semigroup | ||
| 650 | |a Algèbres commutatives | ||
| 650 | |a Algèbres de Banach | ||
| 650 | |a Fonctions analytiques | ||
| 700 | 1 | |a Tonev, Thomas, |d 1945-2015. |4 aut | |
| 700 | 1 | |a Tonev, Thomas V. |4 aut | |
| 776 | 0 | |0 109265777 |t Shift-invariant uniform algebras on groups |f S.A. Grigoryan, T.V. Tonev |c Basel |n Birkhäuser |d 2006 |p 1 vol. (IX-284 p.) |s Monografie matematyczne / Instytut Matematyczny PAN |z 3-7643-7606-6 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/3-7643-7605-8 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-F8QRWD47-L |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:747896232 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/3-7643-7605-8 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:750909234 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/3-7643-7605-8 |z Accès INSA CVL | |
| 997 | |0 938694 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||