Subharmonic almost periodic functions

Автор(и)

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

Анотація

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 $\{z\in\mathbb{C}: a< \mathrm{Im} z<b\}$. We also prove that Fourier coeficients of these functions are continuous functions in Imz. Further, if the logarithm of a subharmonic almost periodic function is a sub- harmonic function, then it is almost periodic.

Mathematics Subject Classification: 42A75, 30B50.

Ключові слова:

subharmonic functions, almost periodic functions in the sense of distributions, Fourier coeficients

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Як цитувати

(1)
Rakhnin, A. V.; Favorov, S. Y. Subharmonic almost periodic functions. Журн. мат. фіз. анал. геом. 2005, 1, 209-224.

Номер

Том 1 № 2 (2005)

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