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