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Decomposition of magnetic Berezin transforms on the Euclidean complex space ℂ n

Decomposition of magnetic Berezin transforms on the Euclidean complex space ℂ n Whilst dealing with a Schrödinger operator with a magnetic field in the complex n-space, we construct a Toeplitz operator whose Berezin symbol defines a Berezin transform for each eigenspace attached to a fixed Landau level. We give a decomposition of the action of this transform on the product of radial functions with spherical harmonics. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Integral Transforms and Special Functions Taylor & Francis

Decomposition of magnetic Berezin transforms on the Euclidean complex space ℂ n

Mouayn, Zouhaïr
Integral Transforms and Special Functions , Volume 19 (12): 10 – Dec 1, 2008
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References (8)

Publisher
Taylor & Francis
Copyright
Copyright Taylor & Francis Group, LLC
ISSN
1476-8291
eISSN
1065-2469
DOI
10.1080/10652460802453262
Publisher site
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Abstract

Whilst dealing with a Schrödinger operator with a magnetic field in the complex n-space, we construct a Toeplitz operator whose Berezin symbol defines a Berezin transform for each eigenspace attached to a fixed Landau level. We give a decomposition of the action of this transform on the product of radial functions with spherical harmonics.

Journal

Integral Transforms and Special Functions – Taylor & Francis

Published: Dec 1, 2008

Keywords: Toeplitz operator; Berezin transform; Landau levels; spherical harmonics; Primary: 47B35; 44A35; 32A26; 33C55; Secondary: 35J10; 81Q10

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