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Subharmonic Almost Periodic Functions

S. Favorov·A. Rakhnin
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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.

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S. Favorov, A. Rakhnin. 2007-01-28. Subharmonic Almost Periodic Functions. https://arxiv.org/abs/math/0701809

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