Subharmonic Almost Periodic Functions of Slow Growth

  • S. Yu. Favorov Department of Mechanics and Mathematics, V.N. Karazin Kharkiv National University, 4 Svobody Sq., Kharkiv, 61077, Ukraine
  • A. V. Rakhnin Department of Mechanics and Mathematics, V.N. Karazin Kharkiv National University, 4 Svobody Sq., Kharkiv, 61077, Ukraine

Анотація

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.

Mathematics Subject Classification: 31A05, 42A75, 30D15.

Ключові слова:

subharmonic function, almost periodic function, Riesz measure, zero set, entire function of exponential type.

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Як цитувати

(1)
S. Y. Favorov, A. V. Rakhnin, Subharmonic Almost Periodic Functions of Slow Growth, Журн. мат. фіз. анал. геом. 3 (2007), 109-127.

Номер

Том 3 № 1 (2007)

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