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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 ...
BA - Obecná matematika
- 2006 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Berezin-Toeplitz quantization over matrix domains
An extension of the Berezin-Toeplitz quantization to reproducing kernel spaces of vector-valued functions is developed and studied in detail in the context the classical Segal-Bargmann space on the domain of all complex mat...
BA - Obecná matematika
- 2007 •
- C
Rok uplatnění
C - Kapitola v odborné knize
A matrix-valued Berezin-Toeplitz quantization
A method for quantizing systems with internal degrees of freedom is developed, based on spaces of matrix-valued holomorphic functions...
BA - Obecná matematika
- 2007 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
An excursion into Berezin–Toeplitz quantization and related topics
We present an introduction to the Berezin and Berezin–Toeplitz quantizations, starting from their historical origins and relationships with other quantization methods, discussing various instructive exampl...
BA - Obecná matematika
- 2016 •
- C •
- Link
Rok uplatnění
C - Kapitola v odborné knize
Výsledek na webu
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 pri...
BA - Obecná matematika
- 2003 •
- D
Rok uplatnění
D - Stať ve sborníku
Quantization methods: a-guide for physicists and analysts
This is a survey of some of the better known quantization techniques, including the canonical quantization, Borel and Segal quantizations, geometric quantization, deformation quantization, Berezin...
BA - Obecná matematika
- 2005 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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. In this ...
BA - Obecná matematika
- 2005 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Some variations on the Berezin quantization method
The paper examines the possibility of using for the Berezin or the Berezin-Toeplitz quantization other function spaces than the spaces of holomorphic functions. Both positive and negative results are obtained....
BA - Obecná matematika
- 2004 •
- D
Rok uplatnění
D - Stať ve sborníku
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
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Asymptotic expansions for Toeplitz operators on symmetric spaces of general type
A general theory of Berezin-Toeplitz quantization for symmetric spaces is presented, with emphasis on representation-theoretic asymptotic expansions, which applies to spaces of compact and non-compact type, both in the clas...
BA - Obecná matematika
- 2015 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
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