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Operator Symbols and Operator Indices

Name: Operator Symbols and Operator Indices
Creator: Vladimir Vasilyev
Keywords: index, symbol, Fredholm property, local operator, mathematics, 0101 mathematics, 16. Peace & justice, pseudo-differential operator, 01 natural sciences, mathematical analysis

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 30 Dec 2019 Russian Federation Publisher:MDPI AGJournal:Symmetry, volume 12, page 64 (eissn: 2073-8994,

Authors: Vladimir Vasilyev;

doi: 10.3390/sym12010064

Operator Symbols and Operator Indices

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Abstract

We suggest a certain variant of symbolic calculus for special classes of linear bounded operators acting in Banach spaces. According to the calculus we formulate an index theorem and give applications to elliptic pseudo-differential operators on smooth manifolds with non-smooth boundaries.

Country

Russian Federation

Related Organizations

Belgorod State University
Russian Federation
Belgorod National Research University
Russian Federation
National Research Tomsk State University
Russian Federation

Keywords

index, symbol, Fredholm property, local operator, mathematics, pseudo-differential operator, mathematical analysis

Impact byBIP!

	citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	3
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