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Matematicheskaya Fizika, Analiz, Geometriya [Mathematical Physics, Analysis, Geometry], 2002, Volume 9, Number 3, Pages 465–477
(Mi jmag309)
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This article is cited in 1 scientific paper (total in 1 paper)
Almost periodic functions in finite-dimensional space with the spectrum in a cone
S. Favorov, O. Udodova Department of Mechanics and Mathematics, V. N. Karazin National University, 4 Svobody Sq., Kharkov, 61077, Ukraine
Abstract:
We prove that an almost periodic function in finite-dimensional space extends to a holomorphic bounded function in a tube domain with a cone in the base if and only if the spectrum belongs to the conjugate cone. We also prove that an almost periodic function in finite-dimensional space has the bounded spectrum if and only if it extends to an entire function of exponential type.
Received: 04.01.2002
Citation:
S. Favorov, O. Udodova, “Almost periodic functions in finite-dimensional space with the spectrum in a cone”, Mat. Fiz. Anal. Geom., 9:3 (2002), 465–477
Linking options:
https://www.mathnet.ru/eng/jmag309 https://www.mathnet.ru/eng/jmag/v9/i3/p465
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Abstract page: | 205 | Full-text PDF : | 55 | References: | 1 |
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