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arXiv · 0911.0954

Holomorphic semi-almost periodic functions

A. Brudnyi·D. Kinzebulatov
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Abstract

We study the Banach algebras of bounded holomorphic functions on the unit disk whose boundary values, having, in a sense, the weakest possible discontinuities, belong to the algebra of semi-almost periodic functions on the unit circle. The latter algebra contains as a special case an algebra introduced by Sarason in connection with some problems in the theory of Toeplitz operators.

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A. Brudnyi, D. Kinzebulatov. 2009-11-05. Holomorphic semi-almost periodic functions. https://arxiv.org/abs/0911.0954

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