Shift-invariant Uniform Algebras on Groups (Record no. 425072)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 04036nam a22005175i 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOKNUMBER | |
| International Standard Book Number | 9783764376055 |
| -- | 978-3-7643-7605-5 |
| 024 7# - | |
| -- | 10.1007/3-7643-7605-8 |
| -- | doi |
| 040 ## - | |
| -- | ISI Library, Kolkata |
| 050 #4 - | |
| -- | QA319-329.9 |
| 072 #7 - | |
| -- | PBKF |
| -- | bicssc |
| 072 #7 - | |
| -- | MAT037000 |
| -- | bisacsh |
| 072 #7 - | |
| -- | PBKF |
| -- | thema |
| 082 04 - DEWEYDECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515.7 |
| Edition number | 23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Grigoryan, Suren A. |
| Relator code | aut |
| -- | http://id.loc.gov/vocabulary/relators/aut |
| 245 10 - TITLE STATEMENT | |
| Title | Shift-invariant Uniform Algebras on Groups |
| Medium | [electronic resource] / |
| Statement of responsibility, etc | by Suren A. Grigoryan, Thomas V. Tonev. |
| 942 ## - ADDED ENTRY ELEMENTS(KOHA) | |
| Koha item type | E-BOOKS |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| -- | author. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE STATEMENTS | |
| Place of production, publication, distribution, manufacture | Basel : |
| Name of producer, publisher, distributor, manufacturer | Birkhäuser Basel, |
| Date of production, publication, distribution, manufacture | 2006. |
| 300 ## - | |
| -- | IX, 287 p. |
| -- | online resource. |
| 336 ## - CONTENT TYPE | |
| Content Type Term | text |
| Content Type Code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media Type Term | computer |
| Media Type Code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier Type Term | online resource |
| Carrier Type Code | cr |
| Source | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 490 1# - | |
| -- | Monografie Matematyczne, |
| -- | 0077-0507 ; |
| -- | 68 |
| 505 0# - | |
| -- | 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 ## - | |
| -- | 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 - | |
| -- | Functional analysis. |
| 650 #0 - | |
| -- | Functions of complex variables. |
| 650 #0 - | |
| -- | Operator theory. |
| 650 14 - | |
| -- | Functional Analysis. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M12066 |
| 650 24 - | |
| -- | Functions of a Complex Variable. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M12074 |
| 650 24 - | |
| -- | Operator Theory. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M12139 |
| 700 1# - | |
| -- | Tonev, Thomas V. |
| -- | author. |
| -- | aut |
| -- | http://id.loc.gov/vocabulary/relators/aut |
| 710 2# - | |
| -- | SpringerLink (Online service) |
| 773 0# - | |
| -- | Springer eBooks |
| 776 08 - | |
| -- | Printed edition: |
| -- | 9783764391324 |
| 776 08 - | |
| -- | Printed edition: |
| -- | 9783764376062 |
| 830 #0 - | |
| -- | Monografie Matematyczne, |
| -- | 0077-0507 ; |
| -- | 68 |
| 856 40 - | |
| -- | https://doi.org/10.1007/3-7643-7605-8 |
| 912 ## - | |
| -- | ZDB-2-SMA |
| 950 ## - | |
| -- | Mathematics and Statistics (Springer-11649) |
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