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Toeplitz operators and group representations
A generalization of Toeplitz operators in constructed which includes also e.g. the localization operators of Gabor-Daubechies as well as the covariant calculi recently introduced by Arazy and Upmeier....
BA - Obecná matematika
- 2007 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Spectral triples and Toeplitz operators
We give examples of spectral triples, in the sense of A. Connes, constructed using the algebra of Toeplitz operators on smoothly bounded strictly pseudoconvex domains in Cn Cn or the star product for the Berezin?Toeplitz qu...
BA - Obecná matematika
- 2015 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Toeplitz and Hankel operators and Dixmier trances on the unit ball of C-n
We compute the Dixmier trace of pseudo-Toeplitz operators on the Fock space of Toeplitz operators on the Hardy and weighted Bergman spaces on the unit ball of C-d. This generalizes an earlier work of Helto...
BA - Obecná matematika
- 2009 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Analytic continuation of Toeplitz operators
Generalizing results of Rossi and Vergne for the holomorphic discrete series on symmetric domains, on the one hand, and of Chailuek and Hall for Toeplitz operators on the ball, on the other hand, we establish existence of a...
BA - Obecná matematika
- 2015 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Toeplitz operators and localization operators
We show that for any localization operator on the Fock space with polynomial window, there exists a constant coefficient linear partial differential operator D such that the localization operator with symbol f coincides wit...
BA - Obecná matematika
- 2009 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Toeplitz operators on the weighted Bergman spaces of quotient domains
domain which is a G-space. We establish identities involving Toeplitz operators of Toeplitz operators on the weighted Bergman space on omega/G. We specialize on the generalized zero-product problem and ch...
Pure mathematics
- 2023 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Toeplitz operators on higher Cauchy-Riemann spaces
is also discussed. Our main tool are the generalized Toeplitz operatorsWe develop a theory of Toeplitz, and to some extent Hankel, operators on the kernels of powers of the boundary d-bar operator
Pure mathematics
- 2017 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
A new kind of Hankel-Toeplitz type operator.
We describe a new kind of Hankel-Toeplitz type operators on the disc, arising from the complementary series of representations of SU (1,1),and establish their basic properties such as boundedness and Schatten von Neumann classes mem...
BA - Obecná matematika
- 2000 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Toeplitz operators and weighted Bergman kernels
For a smoothly bounded strictly pseudoconvex domain, we describe the boundary singularity of weighted Bergman kernels with respect to weights behaving like a fractional power of a defining function, and, more generally, of the reproducing ke...
BA - Obecná matematika
- 2008 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Hankel operators and the Dixmier trace on strictly pseudoconvex domains
on boundary derivatives of the symbols. Our main tool is the theory of generalized Toeplitz operators due to Boutet de Monvel and Guillemin.Generalizing earlier results for the disc and the ball, we give a formula...
BA - Obecná matematika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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