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math-ph2002★ 1 cited
A transformation formula relating resolvents of Berezin-Toeplitz operators by an invariance property of Brownian motion
Bernhard G. Bodmann
Using a stochastic representation provided by Wiener-regularized path integrals for the semigroups generated by certain Berezin-Toeplitz operators, a transformation formula for the…
math-ph2002★ 1 cited
Construction of Self-Adjoint Berezin-Toeplitz Operators on Kahler Manifolds and a Probabilistic Representation of the Associated Semigroups
Bernhard G. Bodmann
We investigate a class of operators resulting from a quantization scheme attributed to Berezin. These so-called Berezin-Toeplitz operators are defined on a Hilbert space of square-…