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Subharmonic Almost Periodic Functions of Slow Growth

Complex Variables 2007-05-23 v1

Abstract

We obtain a complete description of the Riesz measures of almost periodic subharmonic functions with at most of linear growth on the complex plane; as a consequence we get a complete description of zero sets for the class of entire functions of exponential type with almost periodic modulus.

Keywords

Cite

@article{arxiv.math/0701814,
  title  = {Subharmonic Almost Periodic Functions of Slow Growth},
  author = {S. Favorov and A. Rakhnin},
  journal= {arXiv preprint arXiv:math/0701814},
  year   = {2007}
}