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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
DOI:https://doi.org/10.1007/s00006-015-0546-9
ISSN:0188-7009
ISSN:1661-4909
Title of parent work (English):Advances in applied Clifford algebras
Publisher:Springer
Place of publishing:Basel
Publication type:Article
Language:English
Year of first publication:2015
Publication year:2015
Release date:2017/03/27
Tag:Cauchy data spaces; Fredholm property; Laplace-Beltrami operator; Toeplitz operators
Volume:25
Issue:4
Number of pages:18
First page:811
Last Page:828
Funding institution:Deutscher Akademischer Austauschdienst
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik
Peer review:Referiert
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