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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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Author:Dmitry Fedchenko, Nikolai Nikolaevich TarkhanovORCiDGND
Series (Serial Number):Preprints des Instituts für Mathematik der Universität Potsdam (2(2013)17)
Document Type:Preprint
Year of Completion: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
Dewey Decimal 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.)
Collections:Universität Potsdam / Schriftenreihen / Preprints des Instituts für Mathematik der Universität Potsdam, ISSN 2193-6943 / 2013
Licence (German):License LogoKeine Nutzungslizenz vergeben - es gilt das deutsche Urheberrecht