Toeplitz quantization and asymptotic expansions: Peter-Weyl decomposition

DOI10.1007/s00020-010-1808-5zbMath1207.53088OpenAlexW2070287645MaRDI QIDQ607772

Miroslav Engliš, Harald Upmeier

Publication date: 3 December 2010

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-010-1808-5

zbMATH Keywords

quantizationstar productPeter-Weyl decompositionTopelitz operator

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Deformation quantization, star products (53D55) Differential geometry of symmetric spaces (53C35)

Related Items (3)

Toeplitz operators on the Fock space with quasi-radial symbols ⋮ A product expansion for Toeplitz operators on the Fock space ⋮ Asymptotic expansions for Toeplitz operators on symmetric spaces of general type

Cites Work

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• Toeplitz quantization and asymptotic expansions for real bounded symmetric domains
• Weighted Bergman kernels and quantization
• The Berezin transform and invariant differential operators
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• Real Berezin Transform and Asymptotic Expansion for Symmetric Spaces of Compact and Non-compact Type
• Quantification et analyse pseudo-différentielle
• Harmonic Analysis in Phase Space. (AM-122)
• QUANTIZATION
• Asymptotic expansions of Berezin transforms
• A one‐parameter calculus for symmetric domains
• The Solution of Algebraic and Transcendental Equations by Iteration

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