A multidimensional version of Levin's Secular Constant Theorem and its applications
Complex Variables
2007-05-23 v1 Classical Analysis and ODEs
Abstract
We study holomorphic almost periodic functions on a tube domain with the spectrum in a cone. We extend to this case Levin's theorem on a connection between the Jessen function, secular constant, and the Phragmen-Lindelof indicator. Then we obtain a multidimensional version of Picard's theorem on exceptional values for our class.
Cite
@article{arxiv.math/0701805,
title = {A multidimensional version of Levin's Secular Constant Theorem and its applications},
author = {S. Favorov and N. Girya},
journal= {arXiv preprint arXiv:math/0701805},
year = {2007}
}
Comments
16 pages