Decomposition of magnetic Berezin transforms on the Euclidean complex space ℂn

DOI10.1080/10652460802453262zbMath1161.47021OpenAlexW2169388730MaRDI QIDQ3544289

Zouhaïr Mouayn

Publication date: 5 December 2008

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652460802453262

zbMATH Keywords

Toeplitz operatorspherical harmonicsBerezin transformLandau levels

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Integral representations, constructed kernels (e.g., Cauchy, Fantappiè-type kernels) (32A26) Spherical harmonics (33C55)

Related Items (2)

Coherent states quantization for generalized Bargmann spaces with formulae for their attached Berezin transforms in terms of the Laplacian on \(\mathbb C^{N }\) ⋮ A formula representing magnetic Berezin transforms as functions of the Laplacian on ℂⁿ

Cites Work

• General concept of quantization
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