| 书目名称 | Shift-invariant Uniform Algebras on Groups | | 编辑 | Suren A. Grigoryan,Thomas V. Tonev | | 视频video | | | 概述 | Novel approach and techniques leading to non-standard perspectives and unexpected properties of the classes of almost periodic functions of real variables and of bounded analytic functions on the unit | | 丛书名称 | Monografie Matematyczne | | 图书封面 |  | | 描述 | 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, | | 出版日期 | Book 2006 | | 关键词 | Banach algebra; Complex analysis; algebra; analytic function; functional analysis | | 版次 | 1 | | doi | https://doi.org/10.1007/3-7643-7605-8 | | isbn_ebook | 978-3-7643-7605-5Series ISSN 0077-0507 Series E-ISSN 2297-0274 | | issn_series | 0077-0507 | | copyright | Birkhäuser Basel 2006 |
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发表于 2025-3-21 17:35:03
