A transformation formula relating resolvents of Berezin-Toeplitz operators by an invariance property of Brownian motion

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dc.creatorBodmann, Bernhard G.
dc.date2002-09-04
dc.date2002-09-15
dc.date.accessioned2026-07-07T04:29:24Z
dc.date.available2026-07-07T04:29:24Z
dc.descriptionUsing 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].
dc.descriptionAMS-LaTeX, 14 pages, no figures, v.2: added reference in introduction, added remark in Examples 3.6.2
dc.identifierhttps://arxiv.org/abs/math-ph/0209009
dc.identifierhttp://arxiv.org/abs/math-ph/0209009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57142
dc.subjectMathematical Physics
dc.subject81S10, 58D30 (MSC 2000)
dc.titleA transformation formula relating resolvents of Berezin-Toeplitz operators by an invariance property of Brownian motion
dc.typetext

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