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Matematicheskaya Fizika, Analiz, Geometriya [Mathematical Physics, Analysis, Geometry], 2002, Volume 9, Number 3, Pages 465–477 (Mi jmag309)  
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
Full-text PDF (248 kB) Citations (1)
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
Bibliographic databases:
Document Type: Article
Language: English
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
Citation in format AMSBIB
\Bibitem{FavUdo02}
\by S.~Favorov, O.~Udodova
\paper Almost periodic functions in finite-dimensional space with the spectrum in a cone
\jour Mat. Fiz. Anal. Geom.
\yr 2002
\vol 9
\issue 3
\pages 465--477
\mathnet{http://mi.mathnet.ru/jmag309}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1949802}
\zmath{https://zbmath.org/?q=an:1093.32001}
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  • https://www.mathnet.ru/eng/jmag/v9/i3/p465
    • This publication is cited in the following 1 articles:
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    References:1
     
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