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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:Dmitry Fedchenko, Nikolai Nikolaevich TarkhanovORCiDGND
DOI:https://doi.org/10.1007/s00006-015-0546-9
ISSN:0188-7009 (print)
ISSN:1661-4909 (online)
Parent Title (English):Advances in applied Clifford algebras
Publisher:Springer
Place of publication:Basel
Document Type:Article
Language:English
Year of first Publication:2015
Year of Completion:2015
Release Date:2017/03/27
Tag:Cauchy data spaces; Fredholm property; Laplace-Beltrami operator; Toeplitz operators
Volume:25
Issue:4
Pagenumber:18
First Page:811
Last Page:828
Funder:Deutscher Akademischer Austauschdienst
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik
Peer Review:Referiert