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Ufa Mathematical Journal, 2016, Volume 8, Issue 3, Pages 22–40
DOI: https://doi.org/10.13108/2016-8-3-22 (Mi ufa323) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Properties of the resolvent of the Laplace operator on a two-dimensional sphere and a trace formula

A. I. Atnagulova, V. A. Sadovnichyb, Z. Yu. Fazullinc

a Bashkir State Agricultural University, Ufa
b Lomonosov Moscow State University
c Bashkir State University, Ufa
English version PDF (422 kB) Citations (5) Russian version article
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DOI: https://doi.org/10.13108/2016-8-3-22
Abstract: In the work we study the properties of the resolvent of the Laplace–Beltrami operator on a two-dimensional sphere $S^2$. We obtain the regularized trace formula for the Laplace-Beltrami operator perturbed by the operator of multiplication by a function in $W^1_2(S^2)$.
Keywords: resolvent, kernel, Laplace-Beltrami operator, perturbed operator.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 01201456408
Received: 26.06.2016
Bibliographic databases:
Document Type: Article
UDC: 517.94
MSC: 47B10, 47B15, 47A55
Language: English
Original paper language: Russian
Citation: A. I. Atnagulov, V. A. Sadovnichy, Z. Yu. Fazullin, “Properties of the resolvent of the Laplace operator on a two-dimensional sphere and a trace formula”, Ufa Math. J., 8:3 (2016), 22–40
Citation in format AMSBIB
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\by A.~I.~Atnagulov, V.~A.~Sadovnichy, Z.~Yu.~Fazullin
\paper Properties of the resolvent of the Laplace operator on a~two-dimensional sphere and a~trace formula
\jour Ufa Math. J.
\yr 2016
\vol 8
\issue 3
\pages 22--40
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  • https://doi.org/10.13108/2016-8-3-22
  • https://www.mathnet.ru/eng/ufa/v8/i3/p22
    • This publication is cited in the following 5 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:489
    Russian version PDF:232
    English version PDF:27
    References:60
     
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