Berezin transform on the harmonic Fock space
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Publication:961079
DOI10.1016/j.jmaa.2009.12.028zbMath1195.32003OpenAlexW1966122510MaRDI QIDQ961079
Publication date: 29 March 2010
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.12.028
asymptotic expansionBerezin transformharmonic Bergman kernelharmonic Fock spaceHorn hypergeometric functions
Related Items (13)
High-power asymptotics of some weighted harmonic Bergman kernels ⋮ Schatten \(p\)-class Toeplitz operators with unbounded symbols an pluriharmonic Bergman space ⋮ On the Bergman kernel in weighted monogenic Bargmann-Fock spaces ⋮ Toeplitz Algebras on the Harmonic Fock Space ⋮ Hermite polynomials and quasi-classical asymptotics ⋮ On asymptotic expansion of the harmonic Berezin transform on the half-space ⋮ Atomic decomposition for the harmonic Fock spaces in the plane ⋮ Carleson measures for harmonic Fock spaces in the plane ⋮ Berezin transforms on pluriharmonic Bergman spaces ⋮ Boundedness of the orthogonal projection on harmonic Fock spaces ⋮ Compact vectorial Toeplitz operators on the Segal-Bargmann space ⋮ Spectral asymptotic of the Newtonian potential in \(L^2 (\mathbb{R}^d, d \mu_{\alpha})\) ⋮ Berezin transform of two arguments
Cites Work
- Berezin and Berezin-Toeplitz quantizations for general function spaces
- Toeplitz quantization of Kähler manifolds and \(gl(N)\), \(N\to \infty\) limits
- Reproducing kernels for harmonic Bergman spaces of the unit ball
- Harmonic Bergman functions on the unit ball in \(\mathbb R^n\)
- On the Faraut-Koranyi hypergeometric functions in rank two.
- Weighted Bergman kernels and quantization
- Non-perturbative deformation quantization of Cartan domains
- Harmonic Function Theory
- Toeplitz Operators on the Segal-Bargmann Space
- Berezin transforms on pluriharmonic Bergman spaces
- Harmonic analysis of the de Rham complex on the sphere.
- QUANTIZATION
- A “deformation estimate" for the Toeplitz operators on harmonic Bergman spaces
- AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION
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