arXiv subjects

A. Rakhnin

Publications and source records attributed to A. Rakhnin.

2 recordsLinked to original sources

arXiv2007

Subharmonic Almost Periodic Functions

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.

math.CV↗

arXiv2007

Subharmonic Almost Periodic Functions of Slow Growth

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.

math.CV↗