Subharmonic almost periodic functions

• Published in: Журнал математической физики, анализа, геометрии
• Date: 2005
• Main Authors: Rakhnin, A.V., Favorov, S.Yu.
• Format: Article
• Language: English
• Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2005
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/106574
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Subharmonic almost periodic functions / A.V. Rakhnin, S.Yu. Favorov // Журнал математической физики, анализа, геометрии. — 2005. — Т. 1, № 2. — С. 209-224. — Бібліогр.: 8 назв. — англ.

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 strip {z belongs C : a < Imz < b}. We also prove that Fourier coefficients of these functions are continuous funct...