Almost periodic mappings to complex manifolds
Complex Variables
2007-05-23 v1 Classical Analysis and ODEs
Abstract
H.Bohr in 1930 proved that if a holomorphic bounded function on a strip is almost periodic on a straight line in the strip, then it is almost periodic on the whole strip. We find some conditions when the result is valid for holomorphic mappings of tube domains to various complex manifolds.
Keywords
Cite
@article{arxiv.math/0701860,
title = {Almost periodic mappings to complex manifolds},
author = {S. Favorov and N. Parfyonova},
journal= {arXiv preprint arXiv:math/0701860},
year = {2007}
}