Subharmonic Almost Periodic Functions
Complex Variables
2007-05-23 v1 Classical Analysis and ODEs
Abstract
We prove that almost periodicity in the sense of distributions coincides with almost periodicity with respect to Stepanov's metric for the class of subharmonic functions in a horizontal strip. We also prove that Fourier coefficients of these functions are continuous functions in Im z. Further, if the logarithm of a subharmonic almost periodic function is a subharmonic function, then it is almost periodic.
Cite
@article{arxiv.math/0701809,
title = {Subharmonic Almost Periodic Functions},
author = {S. Favorov and A. Rakhnin},
journal= {arXiv preprint arXiv:math/0701809},
year = {2007}
}