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A Class of Toeplitz Operators in Several Variables

  • We introduce the concept of Toeplitz operator associated with the Laplace-Beltrami operator on a compact Riemannian manifold with boundary. We characterise those Toeplitz operators which are Fredholm, thus initiating the index theory.

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Metadaten
Author details:Dmitry Fedchenko, Nikolai Nikolaevich TarkhanovORCiDGND
URN:urn:nbn:de:kobv:517-opus-68932
ISSN:2193-6943
Publication series (Volume number):Preprints des Instituts für Mathematik der Universität Potsdam (2(2013)17)
Publication type:Preprint
Language:English
Publication year:2013
Publishing institution:Universität Potsdam
Release date:2013/12/20
Tag:Cauchy data spaces; Fredholm property; Laplace-Beltrami operator; Toeplitz operators
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 / 2013
License (German):License LogoKeine öffentliche Lizenz: Unter Urheberrechtsschutz
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