Subharmonic Almost Periodic Functions
复变函数
2007-05-23 v1 经典分析与常微分方程
摘要
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.
引用
@article{arxiv.math/0701809,
title = {Subharmonic Almost Periodic Functions},
author = {S. Favorov and A. Rakhnin},
journal= {arXiv preprint arXiv:math/0701809},
year = {2007}
}