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Eurasian Mathematical Journal, 2020, Volume 11, Number 4, Pages 45–57
DOI: https://doi.org/10.32523/2077-9879-2020-11-4-45-57 (Mi emj381) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Complexes in relative elliptic theory

N. R. Izvarina, A. Yu. Savin

Peoples' Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St, 117198 Moscow, Russia
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DOI: https://doi.org/10.32523/2077-9879-2020-11-4-45-57
Abstract: Given a pair $(M, X)$, where $X$ is a smooth submanifold in a smooth manifold $M$, we consider complexes of operators associated with this pair. We describe the notion of ellipticity in this situation and prove the Fredholm property for elliptic complexes. As applications, we consider the relative de Rham complex and Dolbeault complex.
Keywords and phrases: relative elliptic theory, complexes, elliptic operators, Green operators, relative de Rham theorem.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-03-2020-223/3 (FSSF2020-0018)
This work was supported by the Ministry of Science and Higher Education of the Russian Federation: agreement no. 075-03-2020-223/3 (FSSF2020-0018).
Received: 01.02.2020
Bibliographic databases:
Document Type: Article
MSC: 58J10, 58J32, 35J40
Language: English
Citation: N. R. Izvarina, A. Yu. Savin, “Complexes in relative elliptic theory”, Eurasian Math. J., 11:4 (2020), 45–57
Citation in format AMSBIB
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\by N.~R.~Izvarina, A.~Yu.~Savin
\paper Complexes in relative elliptic theory
\jour Eurasian Math. J.
\yr 2020
\vol 11
\issue 4
\pages 45--57
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\crossref{https://doi.org/10.32523/2077-9879-2020-11-4-45-57}
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