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Sibirskii Matematicheskii Zhurnal, 2005, Volume 46, Number 6, Pages 1393–1406 (Mi smj1048)  
This article is cited in 16 scientific papers (total in 16 papers)

Fundamental operator-functions of degenerate differential and difference-differential operators in Banach spaces which have a Noether operator in the principal part

M. V. Falaleev, E. Yu. Grazhdantseva

Institute of Mathematics, Economics and Informatics of Irkutsk State University
Full-text PDF (254 kB) Citations (16)
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Abstract: Continuing the study by the first author, we construct fundamental operator-functions for some classes of degenerate differential operators (both ordinary and partial) and difference-differential operators in Banach spaces which have a Noether operator at the leading (time) derivative. To this end, we use the method of Jordan chains of Noether operators and the methods of distribution theory in Banach spaces.
Keywords: distribution, Noether operator, Banach space, fundamental operator-function, Jordan chain, convolution.
Received: 01.03.2004
English version:
Siberian Mathematical Journal, 2005, Volume 46, Issue 6, Pages 1123–1134
DOI: https://doi.org/10.1007/s11202-005-0107-x
Bibliographic databases:
UDC: 517.983.51
Language: Russian
Citation: M. V. Falaleev, E. Yu. Grazhdantseva, “Fundamental operator-functions of degenerate differential and difference-differential operators in Banach spaces which have a Noether operator in the principal part”, Sibirsk. Mat. Zh., 46:6 (2005), 1393–1406; Siberian Math. J., 46:6 (2005), 1123–1134
Citation in format AMSBIB
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\transl
\jour Siberian Math. J.
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    • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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