An index formula for Toeplitz operators

  • We prove a Fedosov index formula for the index of Toeplitz operators connected with the Hardy space of solutions to an elliptic system of first order partial differential equations in a bounded domain of Euclidean space with infinitely differentiable boundary.

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Metadaten
Author details:Dmitry Fedchenko, Nikolai Nikolaevich TarkhanovORCiDGND
URN:urn:nbn:de:kobv:517-opus-72499
ISSN:2193-6943
Publication series (Volume number):Preprints des Instituts für Mathematik der Universität Potsdam (3(2014)12)
Publisher:Universitätsverlag Potsdam
Place of publishing:Potsdam
Publication type:Preprint
Language:English
Year of first publication:2014
Publication year:2014
Publishing institution:Universität Potsdam
Publishing institution:Universitätsverlag Potsdam
Release date:2014/12/11
Tag:Fredholm property; Toeplitz operators; index
Volume:3
Issue:12
Number of pages:24
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik
DDC classification:5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik
MSC classification:47-XX OPERATOR THEORY / 47Bxx Special classes of linear operators / 47B35 Toeplitz operators, Hankel operators, Wiener-Hopf operators [See also 45P05, 47G10 for other integral operators; see also 32A25, 32M15]
47-XX OPERATOR THEORY / 47Lxx Linear spaces and algebras of operators [See also 46Lxx] / 47L80 Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.)
Collection(s):Universität Potsdam / Schriftenreihen / Preprints des Instituts für Mathematik der Universität Potsdam, ISSN 2193-6943 / 2014
Publishing method:Universitätsverlag Potsdam
License (German):License LogoKeine öffentliche Lizenz: Unter Urheberrechtsschutz
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