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Integral Transforms and Special Functions Volume 18, 2007 - Issue 4
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Original Articles

Covariant symbolic calculus for Toeplitz operators on the sphere

Donara Nguon 78 rue Rambuteau, F-75001, Paris, FranceView further author information
Pages 255-269 | Received 27 Feb 2005, Published online: 20 Mar 2007
 
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Abstract

We consider Toeplitz operators of order zero on the unit sphere of ℂ n and describe its covariant symbolic calculus defined by the Berezin quantization. These Toeplitz operators are written as Bessel integral operators. We derive a new explicit formula in terms of Bessel functions for the composition of covariant symbols and a star product.

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Notes on contributors

Donara Nguon

Email: [email protected]

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