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Journal of Operator Theory

Volume 62, Issue 2, Fall 2009  pp. 239-248.

A condition of positivity for Toeplitz operators on the sphere

Authors: Donara Nguon
Author institution: 78 rue Rambuteau, F-75001 Paris, France

Summary: We extend the covariant symbolic calculus for Toeplitz operators on the unit sphere of $\Bbb C ^{n}$ to all orders and we give a computable sufficient condition for them to be positive.

Keywords: Toeplitz operators, Berezin-quantization, symbolic calculus, positivity of operators


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Journal of Operator Theory
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