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Ufa Mathematical Journal, 2015, Volume 7, Issue 1, Pages 46–57
DOI: https://doi.org/10.13108/2015-7-1-46 (Mi ufa271) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Interpolation by series of exponentials in $H(D)$ with real nodes

S. G. Merzlyakov, S. V. Popenov

Institute of Mathematics CC USC RAS, Chernyshevsky str., 112, 450008, Ufa, Russia
English version PDF (395 kB) Citations (4) Russian version article
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DOI: https://doi.org/10.13108/2015-7-1-46
Abstract: In the space of holomorphic functions in a convex domain, we study a problem on interpolation by sums of the series of exponentials converging uniformly on compact subsets of the domain. The discrete set of multiple interpolation nodes is located on the real axis in the domain and has the unique finite accumulation point. We obtain a solvability criterion in terms of distribution of limit directions at infinity for the exponents of exponentials.
Keywords: holomorphic function, convex domain, interpolation with multiplicities, series of exponentials, closed ideal, closed submodule, strong dual space, duality.
Received: 27.10.2014
Bibliographic databases:
Document Type: Article
UDC: 517.9
MSC: 30E05
Language: English
Original paper language: Russian
Citation: S. G. Merzlyakov, S. V. Popenov, “Interpolation by series of exponentials in $H(D)$ with real nodes”, Ufa Math. J., 7:1 (2015), 46–57
Citation in format AMSBIB
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\by S.~G.~Merzlyakov, S.~V.~Popenov
\paper Interpolation by series of exponentials in $H(D)$ with real nodes
\jour Ufa Math. J.
\yr 2015
\vol 7
\issue 1
\pages 46--57
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\crossref{https://doi.org/10.13108/2015-7-1-46}
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\elib{https://elibrary.ru/item.asp?id=23608205}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84937039329}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Уфимский математический журнал
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    Abstract page:611
    Russian version PDF:269
    English version PDF:167
    References:174
     
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