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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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Basel :
Birkhäuser Basel : Imprint: Birkhäuser,
2006.
|
| Edición: | 1st ed. 2006. |
| Colección: | Monografie Matematyczne,
68 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-3-7643-7605-5 | ||
| 003 | DE-He213 | ||
| 005 | 20220116101249.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 100301s2006 sz | s |||| 0|eng d | ||
| 020 | |a 9783764376055 |9 978-3-7643-7605-5 | ||
| 024 | 7 | |a 10.1007/3-7643-7605-8 |2 doi | |
| 050 | 4 | |a QA319-329.9 | |
| 072 | 7 | |a PBKF |2 bicssc | |
| 072 | 7 | |a MAT037000 |2 bisacsh | |
| 072 | 7 | |a PBKF |2 thema | |
| 082 | 0 | 4 | |a 515.7 |2 23 |
| 100 | 1 | |a Grigoryan, Suren A. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Shift-invariant Uniform Algebras on Groups |h [electronic resource] / |c by Suren A. Grigoryan, Toma V. Tonev. |
| 250 | |a 1st ed. 2006. | ||
| 264 | 1 | |a Basel : |b Birkhäuser Basel : |b Imprint: Birkhäuser, |c 2006. | |
| 300 | |a IX, 287 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Monografie Matematyczne, |x 2297-0274 ; |v 68 | |
| 505 | 0 | |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. | |
| 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 | 0 | |a Functional analysis. | |
| 650 | 0 | |a Functions of complex variables. | |
| 650 | 0 | |a Operator theory. | |
| 650 | 1 | 4 | |a Functional Analysis. |
| 650 | 2 | 4 | |a Functions of a Complex Variable. |
| 650 | 2 | 4 | |a Operator Theory. |
| 700 | 1 | |a Tonev, Toma V. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783764391324 |
| 776 | 0 | 8 | |i Printed edition: |z 9783764376062 |
| 830 | 0 | |a Monografie Matematyczne, |x 2297-0274 ; |v 68 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/3-7643-7605-8 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||