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Mathematics of the USSR-Sbornik, 1979, Volume 35, Issue 1, Pages 131–156
DOI: https://doi.org/10.1070/SM1979v035n01ABEH001459 (Mi sm2586) 		 
This article is cited in 8 scientific papers (total in 9 papers)

The index of random elliptic operators. II

B. V. Fedosov, M. A. Shubin
English version PDF (1688 kB) Citations (9)
References:
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DOI: https://doi.org/10.1070/SM1979v035n01ABEH001459
Abstract: For uniformly elliptic operators in $\mathbf R^n$ whose coefficients are smooth random functions which are homogeneous with respect to shifts in $\mathbf R^n$ the concept of an index is introduced and its properties are investigated. The index of a family of such operators is also defined. Formulas are established which express the index of an operator or a family of operators in terms of the principal symbol. Examples and special cases are considered.
Bibliography: 9 titles.
Received: 27.06.1977
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1978, Volume 106(148), Number 3(7), Pages 455–483
Bibliographic databases:
UDC: 517.43+519.2
MSC: 47F05, 35R60
Language: English
Original paper language: Russian
Citation: B. V. Fedosov, M. A. Shubin, “The index of random elliptic operators. II”, Mat. Sb. (N.S.), 106(148):3(7) (1978), 455–483; Math. USSR-Sb., 35:1 (1979), 131–156
Citation in format AMSBIB
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\by B.~V.~Fedosov, M.~A.~Shubin
\paper The index of random elliptic operators.~II
\jour Mat. Sb. (N.S.)
\yr 1978
\vol 106(148)
\issue 3(7)
\pages 455--483
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=501191}
\zmath{https://zbmath.org/?q=an:0422.58025|0392.58010}
\transl
\jour Math. USSR-Sb.
\yr 1979
\vol 35
\issue 1
\pages 131--156
\crossref{https://doi.org/10.1070/SM1979v035n01ABEH001459}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1979JB17500009}
Linking options:
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  • https://doi.org/10.1070/SM1979v035n01ABEH001459
  • https://www.mathnet.ru/eng/sm/v148/i3/p455
    Cycle of papers
    This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Abstract page:370
    Russian version PDF:132
    English version PDF:12
    References:49
     
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