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Isomorphism of spaces of analytic functions on n-circular domains

Chalov, P. and Zakharyuta, Vyacheslav (2006) Isomorphism of spaces of analytic functions on n-circular domains. (Accepted/In Press)

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Abstract

The space A(D) of all analytic functions in a complete n-circular do- main D in Cn; n 2; is considered with a natural Fréchet topology. Some su¢ cient conditions for the isomorphism of such spaces are ob- tained in terms of certain subtle geometric characteristic of domains D. This investigation complements essentially the second authors result [8] on necessary geometric conditions of such isomorphisms.

Item Type:Article
Subjects:Q Science > QA Mathematics
ID Code:196
Deposited By:Vyacheslav Zakharyuta
Deposited On:19 Dec 2006 02:00
Last Modified:28 Aug 2007 09:53

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