 99413 Bodmann B. G.
 A relation of BerezinToeplitz operators to
Schroedinger operators and the probabilistic
representation of BerezinToeplitz semigroups
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Oct 31, 99

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Abstract. A class of functions is specified which give rise to semibounded
quadratic forms on weighted Bergman spaces and thus can
be interpreted as symbols of selfadjoint BerezinToeplitz operators.
A similar class admits a probabilistic expression of the
sesquianalytic integral kernel for the associated semigroups.
Both results are the consequence of a relation of BerezinToeplitz
operators to Schroedinger operators defined via certain quadratic forms.
The probabilistic expression is derived in conjunction with the
FeynmanKacIto formula.
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