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Sbornik: Mathematics, 1999, Volume 190, Issue 9, Pages 1267–1323
DOI: https://doi.org/10.1070/sm1999v190n09ABEH000426 (Mi sm426) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Spaces of fractional quotients, discrete operators, and their applications. I

I. K. Lifanov, L. N. Poltavskii

N.E. Zhukovsky Military Engineering Academy
English version PDF (822 kB) Citations (7)
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DOI: https://doi.org/10.1070/sm1999v190n09ABEH000426
Abstract: The theory of spaces of fractional quotients is expounded. These are, essentially, discrete analogues of the Sobolev-Slobodetskii spaces. They have been devised for a mathematical substantiation of the method of closed discrete vortex frameworks in the numerical solution of problems relating to flows of an ideal incompressible fluid about bodies in space.
Received: 15.02.1999 and 16.06.1999
Russian version:
Matematicheskii Sbornik, 1999, Volume 190, Number 9, Pages 41–98
DOI: https://doi.org/10.4213/sm426
Bibliographic databases:
UDC: 517.5
MSC: Primary 46E99; Secondary 46A45, 39A70, 39A99
Language: English
Original paper language: Russian
Citation: I. K. Lifanov, L. N. Poltavskii, “Spaces of fractional quotients, discrete operators, and their applications. I”, Mat. Sb., 190:9 (1999), 41–98; Sb. Math., 190:9 (1999), 1267–1323
Citation in format AMSBIB
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    Cycle of papers
    This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:493
    Russian version PDF:191
    English version PDF:13
    References:88
    First page:1
     
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