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Sbornik: Mathematics, 2011, Volume 202, Issue 10, Pages 1505–1536
DOI: https://doi.org/10.1070/SM2011v202n10ABEH004197 (Mi sm7737) 		 
This article is cited in 8 scientific papers (total in 8 papers)

On the index of elliptic operators for the group of dilations

A. Yu. Savinab, B. Yu. Sterninba

a Leibniz University of Hannover
b Peoples Friendship University of Russia
English version PDF (523 kB) Citations (8) Russian version article
References:
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DOI: https://doi.org/10.1070/SM2011v202n10ABEH004197
Abstract: We investigate nonlocal operators associated with the operators of compression and expansion. We obtain an ellipticity condition, which implies that the problem has the Fredholm property, compute the index, and study how the index depends on the exponent of the Sobolev space in which the problem is considered.
Bibliography: 15 titles.
Keywords: operators of compression and expansion, nonlocal theory, ellipticity, finiteness theorem, index.
Received: 11.05.2010 and 08.02.2011
Bibliographic databases:
Document Type: Article
UDC: 515.168.5+517.956.22
MSC: Primary 58J20; Secondary 47A20, 35S05
Language: English
Original paper language: Russian
Citation: A. Yu. Savin, B. Yu. Sternin, “On the index of elliptic operators for the group of dilations”, Sb. Math., 202:10 (2011), 1505–1536
Citation in format AMSBIB
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\paper On the index of elliptic operators for the group of dilations
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\yr 2011
\vol 202
\issue 10
\pages 1505--1536
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  • https://doi.org/10.1070/SM2011v202n10ABEH004197
  • https://www.mathnet.ru/eng/sm/v202/i10/p99
    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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