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Teoreticheskaya i Matematicheskaya Fizika, 2014, Volume 180, Number 2, Pages 264–271
DOI: https://doi.org/10.4213/tmf8654 (Mi tmf8654) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Multipoint Vallée Poussin problem for convolution operators with nodes defined inside an angle

V. V. Napalkova, A. A. Nuyatovb

a Institute for Mathematics with Computation Center, Ufa Science Center, RAS, Ufa, Russia
b Lobachevsky State University of Nizhni Novgorod, Nizhny Novgorod, Russia
Full-text PDF (363 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf8654
Abstract: We prove the solvability of the multipoint Vallée Poussin (interpolation) problem for the kernel of a convolution operator in the case where the zeros of the characteristic function and nodal points (zeros of an entire function) are inside an angle.
Keywords: convolution operator, multipoint Vallée Poussin problem, interpolation, Fisher pair.
Received: 13.02.2014
English version:
Theoretical and Mathematical Physics, 2014, Volume 180, Issue 2, Pages 983–989
DOI: https://doi.org/10.1007/s11232-014-0193-7
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. V. Napalkov, A. A. Nuyatov, “Multipoint Vallée Poussin problem for convolution operators with nodes defined inside an angle”, TMF, 180:2 (2014), 264–271; Theoret. and Math. Phys., 180:2 (2014), 983–989
Citation in format AMSBIB
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  • https://doi.org/10.4213/tmf8654
  • https://www.mathnet.ru/eng/tmf/v180/i2/p264
    • This publication is cited in the following 3 articles:
    1. S. G. Merzlyakov, S. V. Popenov, “Interpolation by sums of series of exponentials and global Cauchy problem for convolution operators”, Dokl. Math., 99:2 (2019), 149–151  crossref  mathscinet  isi  scopus
    2. S. G. Merzlyakov, S. V. Popenov, “Interpolation by series of exponential functions whose exponents are condensed in a certain direction”, J. Math. Sci. (N. Y.), 257:3 (2021), 334–352  mathnet  crossref  mathscinet
    3. S. G. Merzlyakov, S. V. Popenov, “Set of exponents for interpolation of exponential series by sums in all convex domains”, J. Math. Sci. (N. Y.), 245:1 (2020), 48–63  mathnet  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Full-text PDF :178
    References:91
    First page:36
     
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