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Mathematics of the USSR-Izvestiya, 1986, Volume 26, Issue 3, Pages 605–622
DOI: https://doi.org/10.1070/IM1986v026n03ABEH001161 (Mi im1369) 		 
This article is cited in 18 scientific papers (total in 19 papers)

Pseudodifference operators and their Green's functions

M. A. Shubin
English version PDF (924 kB) Citations (19)
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DOI: https://doi.org/10.1070/IM1986v026n03ABEH001161
Abstract: The author studies pseudodifference operators on a discrete metric space, where the matrix elements of the operators decrease faster than a system of singular functions of the distance between points determining a matrix element. Similar estimates for matrix elements are proved for the inverse of a pseudodifference operator in the case where the weight functions increase faster than any function of the volume (the number of points in the ball of radius $r$ with prescribed center) and slower than the standard exponential function.
Bibliography: 12 titles.
Received: 03.06.1983
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1985, Volume 49, Issue 3, Pages 652–671
Bibliographic databases:
UDC: 517.43
MSC: Primary 47B39, 47B37; Secondary 47B38
Language: English
Original paper language: Russian
Citation: M. A. Shubin, “Pseudodifference operators and their Green's functions”, Izv. Akad. Nauk SSSR Ser. Mat., 49:3 (1985), 652–671; Math. USSR-Izv., 26:3 (1986), 605–622
Citation in format AMSBIB
\Bibitem{Shu85}
\by M.~A.~Shubin
\paper Pseudodifference operators and their Green's functions
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1985
\vol 49
\issue 3
\pages 652--671
\mathnet{http://mi.mathnet.ru/im1369}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=794959}
\zmath{https://zbmath.org/?q=an:0595.39008|0574.39006}
\transl
\jour Math. USSR-Izv.
\yr 1986
\vol 26
\issue 3
\pages 605--622
\crossref{https://doi.org/10.1070/IM1986v026n03ABEH001161}
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  • https://www.mathnet.ru/eng/im/v49/i3/p652
    • This publication is cited in the following 19 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:481
    Russian version PDF:172
    English version PDF:28
    References:75
    First page:1
     
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