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Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry], 2007, Volume 3, Number 3, Pages 365–377
(Mi jmag70)
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This article is cited in 1 scientific paper (total in 1 paper)
A multidimensional version of Levin's secular constant theorem and its applications
S. Yu. Favorov, N. Girya Department of Mechanics and Mathematics, V.N. Karazin Kharkiv National University, 4 Svobody Sq., Kharkiv, 61077, Ukraine
Abstract:
We study holomorphic almost periodic functions on a tube domain with the spectrum in a cone. We extend to this case Levin's theorem on a connection between the Jessen function, secular constant, and the Phragmen-Lindelöf indicator. Then we obtain a multidimensional version of Picard's theorem on exceptional values for our class.
Key words and phrases:
almost periodic function, mean motion, secular constant, Picard's type theorems.
Received: 01.09.2006
Citation:
S. Yu. Favorov, N. Girya, “A multidimensional version of Levin's secular constant theorem and its applications”, Zh. Mat. Fiz. Anal. Geom., 3:3 (2007), 365–377
Linking options:
https://www.mathnet.ru/eng/jmag70 https://www.mathnet.ru/eng/jmag/v3/i3/p365
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Abstract page: | 192 | Full-text PDF : | 48 | References: | 40 |
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