Covariant Schrödinger Semigroups on Riemannian Manifolds; .
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- Artikel-Nr.: 10472943
Beschreibung
Sobolev spaces on vector bundles.- Smooth heat kernels on vector bundles.- Basis differential operators on Riemannian manifolds.- Some specific results for the minimal heat kernel.- Wiener measure and Brownian motion on Riemannian manifolds.- Contractive Dynkin potentials and Kato potentials.- Foundations of covariant Schrödinger semigroups.- Compactness of resolvents for covariant Schrödinger operators.- L^p properties of covariant Schrödinger semigroups.- Continuity properties of covariant Schrödinger semigroups.- Integral kernels for covariant Schrödinger semigroup.- Essential self-adjointness of covariant Schrödinger semigroups.- Form cores.- Applications.
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