Approximation theorems for Banach-valued almost periodic and semi-almost periodic holomorphic functions

A. Brudnyi; D. Kinzebulatov

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arXiv · 0810.1335

Approximation theorems for Banach-valued almost periodic and semi-almost periodic holomorphic functions

A. Brudnyi·D. Kinzebulatov

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Abstract

The paper studies semi-almost periodic holomorphic functions on a polydisk which have, in a sense, the weakest possible discontinuities on the boundary torus. The basic result used in the proofs is an extension of the classical Bohr approximation theorem for almost periodic holomorphic functions on a strip to the case of Banach-valued almost periodic holomorphic functions.

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A. Brudnyi, D. Kinzebulatov. 2008-12-19. Approximation theorems for Banach-valued almost periodic and semi-almost periodic holomorphic functions. https://arxiv.org/abs/0810.1335

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