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arXiv:math/0502435 [math.CV]AbstractReferencesReviewsResources

Dual Approach to Certain Questions for Weighted Spaces of Holomorphic Functions

Bulat N. Khabibullin

Published 2005-02-21Version 1

We set new dual problems for the weighted spaces of holomorphic functions of one variable in domains on the complex plane, namely: nontriviallity of a given space, description of zero sets, description of (non-)uniqueness sets, the representation of meromorphic functions as a quotient of holomorphic functions from a given space.

Comments: AMSTEX
Journal: Israel Math. Conf. Proceedings (Tel-Aviv, Dec. 19, 1997), 15 (2001), P. 207-219
Categories: math.CV, math.FA
Subjects: 30D20, 30D35, 30H05, 31A05, 46E05
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