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Journal of Siberian Federal University. Mathematics & Physics, 2017, Volume 10, Issue 2, Pages 206–215
DOI: https://doi.org/10.17516/1997-1397-2017-10-2-206-215 (Mi jsfu541) 		 
A class of Toeplitz operators in several complex variables

Dmitrii P. Fedchenko

Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny, 79, Krasnoyarsk, 660041, Russia
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DOI: https://doi.org/10.17516/1997-1397-2017-10-2-206-215
Abstract: In order to study the Toeplitz algebras related to a Dirac operators in a neighborhood of a closed bounded domain $\mathcal{D}$ with smooth boundary in $\mathbb{C}^n$ we introduce a singular Cauchy type integral. We compute its principal symbol, thus initiating the index theory.
Keywords: Dirac operators, Cauchy type integral, symbol, Toeplitz operators, index.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation NSH-9149.2016.1
The research of the author was supported by the Deutscher Akademischer Austauschdienst and by the Russian Federation President grant of support of leading scientific schools NSH-9149.2016.1.
Received: 10.10.2016
Received in revised form: 14.11.2016
Accepted: 20.02.2017
Bibliographic databases:
Document Type: Article
UDC: 517.983.24
Language: English
Citation: Dmitrii P. Fedchenko, “A class of Toeplitz operators in several complex variables”, J. Sib. Fed. Univ. Math. Phys., 10:2 (2017), 206–215
Citation in format AMSBIB
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\by Dmitrii~P.~Fedchenko
\paper A class of Toeplitz operators in several complex variables
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2017
\vol 10
\issue 2
\pages 206--215
\mathnet{http://mi.mathnet.ru/jsfu541}
\crossref{https://doi.org/10.17516/1997-1397-2017-10-2-206-215}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000412014600008}
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    		Журнал Сибирского федерального университета. Серия "Математика и физика"
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