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Matematicheskaya Fizika, Analiz, Geometriya [Mathematical Physics, Analysis, Geometry], 1997, Volume 4, Number 4, Pages 472–490 (Mi jmag473)  

This article is cited in 3 scientific papers (total in 3 papers)

$\mathrm{CR}$-functions and holomorphic almost periodic functions with entire finite basis

L. I. Ronkin

B. Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine, Khar'kov
Full-text PDF (289 kB) Citations (3)
Abstract: A notion of generating function for an almost periodic function with entire finite basis is introduced. It is proved that the set of all generating functions corresponding to a fixed basis coincides with the set of all continuous $\mathrm{CR}$-functions on some Reinhardt $\mathrm{CR}$-manifold $G$ that depends only on the basis. An analitic representation of $\mathrm{CR}$-functions on G is obtained, too.
Received: 23.12.1996
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: L. I. Ronkin, “$\mathrm{CR}$-functions and holomorphic almost periodic functions with entire finite basis”, Mat. Fiz. Anal. Geom., 4:4 (1997), 472–490
Citation in format AMSBIB
\Bibitem{Ron97}
\by L.~I.~Ronkin
\paper $\mathrm{CR}$-functions and holomorphic almost periodic functions with entire finite basis
\jour Mat. Fiz. Anal. Geom.
\yr 1997
\vol 4
\issue 4
\pages 472--490
\mathnet{http://mi.mathnet.ru/jmag473}
\zmath{https://zbmath.org/?q=an:0922.32003}
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  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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