Subharmonic Almost Periodic Functions of Slow Growth

Автор(и)

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

Ключові слова:

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

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 (primary); 42A75, 30D15 (secondary).

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Опубліковано

2007-01-09

Як цитувати

(1)
Favorov, S.; Rakhnin, A. Subharmonic Almost Periodic Functions of Slow Growth. J. Math. Phys. Anal. Geom. 2007, 3, 109-127.

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