Approximation theorems for Banach-valued almost periodic and semi-almost periodic holomorphic functions
Complex Variables
2008-12-19 v2 Functional Analysis
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.
Keywords
Cite
@article{arxiv.0810.1335,
title = {Approximation theorems for Banach-valued almost periodic and semi-almost periodic holomorphic functions},
author = {A. Brudnyi and D. Kinzebulatov},
journal= {arXiv preprint arXiv:0810.1335},
year = {2008}
}
Comments
We give alternative proof of Theorem 1.4