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68 900 (0,147s)

Result

Berezin transforms on pluriharmonic Bergman spaces

We show that, perhaps surprisingly, in several aspects the behaviour of the reproducing kernels, of Toeplitz operators and of the Berezin transform on some weighted pluriharmonic Bergman spaces is the same as in the holomor...

BA - Obecná matematika

  • 2009
  • Jx
Result

A review of (Berezin and other) quantization methods

This is a survey of recent progress, new ideas and some open problems in several approaches to quantization from a mathematicianďs viewpoint. In particular, current developments in Berezin, Berezin-Toeplitz and prime quanti...

BA - Obecná matematika

  • 2003
  • D
Result

An excursion into BerezinToeplitz quantization and related topics

We present an introduction to the Berezin and BerezinToeplitz quantizations, starting from their historical origins and relationships with other quantization methods, discussing various instructive examples like the Segal–...

BA - Obecná matematika

  • 2016
  • C
  • Link
Result

Berezin and Berezin-Toeplitz quantizations for general function spaces

We explore possibilities of basing the Berezin and Berezin-Toeplitz quantization on other function spaces with reproducing kernels than the classical weighted Bergman spaces. Both positive and negative results are obtained....

BA - Obecná matematika

  • 2006
  • Jx
Result

Berezin-Toeplitz quantization on the Schwartz space of bounded symmetric domains

of the associated Toeplitz operators on the standard weighted Bergman spaces admits an asymptotic expansion into a series of another Toeplitz operators. This is the Berezin-Toeplitz quantization....

BA - Obecná matematika

  • 2005
  • Jx
Result

Toeplitz quantization and asymptotic expansions : Peter Weyl decomposition

We obtain the Peter?Weyl decomposition of the star product and star restriction associated to the Toeplitz calculus on complex and real symmetric domains, respectively, under the action of the maximal compact subgroup. Both the Berezin

BA - Obecná matematika

  • 2010
  • Jx
Result

Deformation quantization and Borel´s theorem

We show that any star product equivalent to the Berezin-Toeplitz one can be obtained from a suitable operator calculus. The proof uses in an essential way the theory of locally convex spaces....

BA - Obecná matematika

  • 2007
  • Jx
Result

Toeplitz operators and the Berezin transform on H.SUP.2.

Annotation not available...

BA - Obecná matematika

  • 1995
  • Jx
Result

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?Toeplit...

BA - Obecná matematika

  • 2015
  • Jx
  • Link
Result

Compact Toeplitz operators via the Berezin transform on bounded symmetric domains.

Annotation not available...

BA - Obecná matematika

  • 1999
  • Jx
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