Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A transformation formula relating resolvents of Berezin-Toeplitz
  operators by an invariance property of Brownian motion   Using a stochastic representation provided by Wiener-regularized path
integrals for the semigroups generated by certain Berezin-Toeplitz operators, a
transformation formula for their resolvents is derived. The key property used
in the transformation of the stochastic representation is that, up to a time
change, Brownian motion is invariant under harmonic morphisms. This result for
Berezin-Toeplitz operators is obtained in analogy with a well-known technique
generating relations among Schr\"odinger operators that was recently
generalized to Riemannian manifolds [Wittich, J. Math. Phys. {\bf 41} (2000),
244].

26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an