Subharmonic Almost Periodic Functions of Slow Growth

• Published in: Журнал математической физики, анализа, геометрии
• Date: 2007
• Main Authors: Favorov, S.Yu., Rakhnin, A.V.
• Format: Article
• Language: English
• Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2007
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/106440
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Subharmonic Almost Periodic Functions of Slow Growth / S.Yu. Favorov, A.V. Rakhnin // Журнал математической физики, анализа, геометрии. — 2007. — Т. 3, № 1. — С. 109-127. — Бібліогр.: 13 назв. — англ.

We obtain a complete description of the Riesz measures of almost periodic subharmonic functions with at most of linear growth on C. As a consequence we get a complete description of zero sets for the class of entire functions of exponential type with almost periodic modula.