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Matematicheskie Zametki, 1987, Volume 41, Issue 1, Pages 34–42 (Mi mzm4807)  

This article is cited in 9 scientific papers (total in 9 papers)

Inversion of potentials in Rn with the aid of Gauss–Weierstrass integrals

B. S. Rubin
Full-text PDF (614 kB) Citations (9)
Received: 25.06.1985
English version:
Mathematical Notes, 1987, Volume 41, Issue 1, Pages 22–27
DOI: https://doi.org/10.1007/BF01159524
Bibliographic databases:
UDC: 517.983
Language: Russian
Citation: B. S. Rubin, “Inversion of potentials in Rn with the aid of Gauss–Weierstrass integrals”, Mat. Zametki, 41:1 (1987), 34–42; Math. Notes, 41:1 (1987), 22–27
Citation in format AMSBIB
\Bibitem{Rub87}
\by B.~S.~Rubin
\paper Inversion of potentials in $\mathbf{R}^n$ with the aid of Gauss--Weierstrass integrals
\jour Mat. Zametki
\yr 1987
\vol 41
\issue 1
\pages 34--42
\mathnet{http://mi.mathnet.ru/mzm4807}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=886165}
\zmath{https://zbmath.org/?q=an:0643.31010}
\transl
\jour Math. Notes
\yr 1987
\vol 41
\issue 1
\pages 22--27
\crossref{https://doi.org/10.1007/BF01159524}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1987K217100004}
Linking options:
  • https://www.mathnet.ru/eng/mzm4807
  • https://www.mathnet.ru/eng/mzm/v41/i1/p34
  • This publication is cited in the following 9 articles:
    1. Melih Eryiğit, Sinem Sezer Evcan, Selim Çobanoğlu, “The convergence rate of truncated hypersingular integrals generated by the modified Poisson semigroup”, J Inequal Appl, 2020:1 (2020)  crossref
    2. Sinem SEZER EVCAN, Melih ERYİĞİT, Selim ÇOBANOĞLU, “A Balakrishnan-Rubin type hypersingular integral operator and inversion of Flett potentials”, Hacettepe Journal of Mathematics and Statistics, 49:4 (2020), 1405  crossref
    3. Melih ERYİGİT, Selim ÇOBANOĞLU, “On the rate of Lp-convergence of Balakrishnan–Rubin-type hypersingular integrals associated to the Gauss-Weierstrass semigroup”, Turk J Math, 41 (2017), 1376  crossref
    4. Kokilashvili V., Meskhi A., Rafeiro H., Samko S., “Integral Operators in Non-Standard Function Spaces, Vol 1: Variable Exponent Lebesgue and Amalgam Spaces”, Integral Operators in Non-Standard Function Spaces, Vol 1: Variable Exponent Lebesgue and Amalgam Spaces, Operator Theory Advances and Applications, 248, Springer Int Publishing Ag, 2016, 1–567  crossref  isi
    5. Ilham A. Aliev, Melih Eryigit, “On a rate of convergence of truncated hypersingular integrals associated to Riesz and Bessel potentials”, Journal of Mathematical Analysis and Applications, 406:1 (2013), 352  crossref
    6. Humberto Rafeiro, Stefan Samko, “Characterization of the variable exponent Bessel potential spaces via the Poisson semigroup”, Journal of Mathematical Analysis and Applications, 365:2 (2010), 483  crossref
    7. Sinem Sezer, Ilham A. Aliev, “A new characterization of the Riesz potential spaces with the aid of a composite wavelet transform”, Journal of Mathematical Analysis and Applications, 372:2 (2010), 549  crossref
    8. Boris Rubin, “Hypersingular Integrals of Marchaud Type and the Inversion Problem for Potentials”, Mathematische Nachrichten, 165:1 (1994), 245  crossref
    9. Boris Rubin, “Fractional integrals and weakly singular integral equations of the first kind in then-dimensional ball”, J. Anal. Math., 63:1 (1994), 55  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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