V. V. Napalkov, A. U. Mullabaeva, “On one class of differential operators and their application”, Trudy Inst. Mat. i Mekh. UrO RAN, 20, no. 1, 2014, 201–214; Proc. Steklov Inst. Math. (Suppl.), 288, suppl. 1 (2015), 142

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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2014, Volume 20, Number 1, Pages 201–214 (Mi timm1042)

This article is cited in 4 scientific papers (total in 4 papers)

On one class of differential operators and their application

V. V. Napalkov^a, A. U. Mullabaeva^b

^a Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
^b Bashkir State University

Full-text PDF (222 kB) Citations (4)

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Abstract: We use a generalized differentiation operator to construct a generalized shift operator, which makes it possible to define a generalized convolution operator in the space $H(\mathbb C)$. Next, we consider the characteristic function of this operator and introduce a generalized Laplace transform. We study the homogeneous equation of the generalized convolution operator, investigate its solvability, and consider the multi-point Vallée Poussin problem.

Keywords: generalized Bargmann–Fock space, generalized differentiation operator, eigenfunction, generalized Laplace transform, characteristic function, generalized shift operator, generalized convolution operator, sequentially sufficient set, uniqueness set, Vallée Poussin problem.

Received: 18.04.2013

English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2015, Volume 288, Issue 1, Pages 142–155
DOI: https://doi.org/10.1134/S0081543815020145

Bibliographic databases:

Document Type: Article

UDC: 517.977

Language: Russian

Citation: V. V. Napalkov, A. U. Mullabaeva, “On one class of differential operators and their application”, Trudy Inst. Mat. i Mekh. UrO RAN, 20, no. 1, 2014, 201–214; Proc. Steklov Inst. Math. (Suppl.), 288, suppl. 1 (2015), 142–155

Citation in format AMSBIB

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https://www.mathnet.ru/eng/timm1042

https://www.mathnet.ru/eng/timm/v20/i1/p201

This publication is cited in the following 4 articles:

S. G. Merzlyakov, “Interpolation by Generalized Exponential Series”, Math. Notes, 109:1 (2021), 94–101
V. V. Napalkov, A. U. Mullabaeva, “Kratnaya interpolyatsionnaya zadacha Valle Pussena”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 19:1 (2015), 63–77
V. V. Napalkov, K. R. Zimens, “Zadacha Valle Pussena v yadre operatora svertki na poluploskosti”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 19:2 (2015), 283–292
Zimens K.R., Napalkov V.V., “the Multiple de La Vallee-Poussin Problem on Convex Domains in the Kernel of the Convolution Operator”, Dokl. Math., 90:2 (2014), 581–583

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Trudy Instituta Matematiki i Mekhaniki UrO RAN

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