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