Analytic equivalence in the disk algebra

Autor:	Hugh E. Warren
Rok vydání:	1974
Předmět:	Filtered algebra Algebra Applied Mathematics General Mathematics Analytic continuation Global analytic function Quotient algebra Disk algebra Equivalence (formal languages) Mathematics
Zdroj:	Transactions of the American Mathematical Society. 192:219-226
ISSN:	1088-6850 0002-9947
DOI:	10.1090/s0002-9947-1974-0333742-6
Popis:	The notion of analytically equivalent domains can be extended from the complex plane to commutative Banach algebras with identity. In C ( X ) C(X) a domain equivalent to the unit ball must have a boundary that is in a certain sense continuous. This paper shows that in the disk algebra “continuous” must be replaced with “analytic.” These results set limits in the classical Riemann mapping theorem on how smoothly the mapping can respond to changes in the domain being mapped.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::567cc06d0ed25ffe4fde51647f42c509 https://doi.org/10.1090/s0002-9947-1974-0333742-6 Zobrazit plný text záznamu