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

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

2008-10-08

arxiv.org/abs/0810.1335v2

Mathematics

Complex Variables

We give alternative proof of Theorem 1.4

Scientific paper

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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