Variation of Subharmonic Function under Transformation of its Riesz Measure

Автор(и)

  • E.G. Kudasheva Chair of Mathematics, Bashkir State Agrarian University 34, 50 Let Oktyabrya Str., Ufa, 450001, Bashkortostan, Russia
  • B.N. Khabibullin Department of Mathematics, Bashkir State University 32 Frunze Str., Ufa, 450074, Russia

Ключові слова:

entire function, subharmonic function, shift of zeros, Riesz measure, T-shift of measure.

Анотація

The paper combines two aspects. First, it contains a compressed comparative review of the well-known results on the change of growth of entire (subharmonic resp.) function under the shifts of its zeros (under T-shift of its Riesz measure resp.). There was B.Ya. Levin who stood at the sources of these results. Second, the first coauthor proves new results obtained in this direction: the estimates of change of subharmonic function under integral restrictions for T-shift of its Riesz measure, and also, in a certain sense, an optimal approximation of an entire function by the entire function with simple zeros.*

Mathematics Subject Classification: 30D15, 31A05.

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Як цитувати

(1)
Kudasheva, E.; Khabibullin, B. Variation of Subharmonic Function under Transformation of its Riesz Measure. Журн. мат. фіз. анал. геом. 2007, 3, 61-94.

Номер

Том 3 № 1 (2007)

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