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Toeplitz operators on higher Cauchy-Riemann spaces
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SYSNO ASEP 0481139 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Toeplitz operators on higher Cauchy-Riemann spaces Author(s) Engliš, Miroslav (MU-W) RID, ORCID, SAI
Zhang, G. (SE)Source Title Documenta Mathematica. - : Deutsche Mathematiker Vereinigung - ISSN 1431-0643
Roč. 22, č. 22 (2017), s. 1081-1116Number of pages 36 s. Language eng - English Country DE - Germany Keywords Toeplitz operator ; Hankel operator ; Cauchy-Riemann operators Subject RIV BA - General Mathematics OECD category Pure mathematics Institutional support MU-W - RVO:67985840 UT WOS 000411873800032 EID SCOPUS 85034420849 Annotation We develop a theory of Toeplitz, and to some extent Hankel, operators on the kernels of powers of the boundary d-bar operator, suggested by Boutet de Monvel and Guillemin, and on their analogues, somewhat better from the point of view of complex analysis, defined using instead the covariant Cauchy-Riemann operators of Peetre and the second author. For the former, Dixmier class membership of these Hankel operators is also discussed. Our main tool are the generalized Toeplitz operators (with pseudodifferential symbols), in particular there appears naturally the problem of finding parametrices of matrices of such operators in situations when the principal symbol fails to be elliptic. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2018
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