2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/57142Using 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 Schrödinger operators that was recently generalized to Riemannian manifolds [Wittich, J. Math. Phys. {\bf 41} (2000), 244].AMS-LaTeX, 14 pages, no figures, v.2: added reference in introduction, added remark in Examples 3.6.2Mathematical Physics81S10, 58D30 (MSC 2000)text