Mathematics – Complex Variables
Scientific paper
2007-01-28
Journal of Mathematical Physics, Analysis, Geometry.v.1 (2005), No.2, 209-224
Mathematics
Complex Variables
Scientific paper
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.
Favorov Sergey
Rakhnin A.
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