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Dual Approach to Certain Questions for Weighted Spaces of Holomorphic Functions

Bulat N. Khabibullin

math.CVarXiv:math/0502435

Abstract

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.

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