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Mathematics of the USSR-Sbornik, 1972, Volume 18, Issue 1, Pages 45–59
DOI: https://doi.org/10.1070/SM1972v018n01ABEH001610 (Mi sm3216) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Pseudodifferential operators on a class of noncompact manifolds

V. S. Rabinovich
English version PDF (883 kB) Citations (11)
References:
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DOI: https://doi.org/10.1070/SM1972v018n01ABEH001610
Abstract: This paper introduces a new class of pseudodifferential (p.d.) operators acting in spaces of Bessel potentials of section-distributions over a noncompact (in the usual sense) manifold $M$ compactified by a set of points at infinity. Two-sided $L_p$ bounds are given for the factor-norm of a p.d. operator in the subspace of compact operators using the norm of its symbol. Necessary and sufficient conditions are given for the operators to be Noetherian, and well-posed problems are investigated on manifolds of the above structure with noncompact boundary.
Bibliography: 18 titles.
Received: 15.06.1971
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1972, Volume 89(131), Number 1(9), Pages 46–60
Bibliographic databases:
UDC: 517.43+517.948
MSC: 58G15
Language: English
Original paper language: Russian
Citation: V. S. Rabinovich, “Pseudodifferential operators on a class of noncompact manifolds”, Mat. Sb. (N.S.), 89(131):1(9) (1972), 46–60; Math. USSR-Sb., 18:1 (1972), 45–59
Citation in format AMSBIB
\Bibitem{Rab72}
\by V.~S.~Rabinovich
\paper Pseudodifferential operators on a~class of noncompact manifolds
\jour Mat. Sb. (N.S.)
\yr 1972
\vol 89(131)
\issue 1(9)
\pages 46--60
\mathnet{http://mi.mathnet.ru/sm3216}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=324486}
\zmath{https://zbmath.org/?q=an:0243.58005}
\transl
\jour Math. USSR-Sb.
\yr 1972
\vol 18
\issue 1
\pages 45--59
\crossref{https://doi.org/10.1070/SM1972v018n01ABEH001610}
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Statistics & downloads:
    Abstract page:294
    Russian version PDF:118
    English version PDF:8
    References:48
     
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