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Covariant Schrodinger semigroups on Riemannian manifolds

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Author(s): Guneysu B.
Series: Operator theory advances and applications 264
Publisher: Imprint : Birkhauser
Year: 2017

Language: English
Pages: 239
Tags: Mathematics.;Global analysis (Mathematics);Manifolds (Mathematics);Differential equations, Partial.

Content: 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 Schroedinger semigroups.- Compactness of resolvents for covariant Schroedinger operators.- L^p properties of covariant Schroedinger semigroups.- Continuity properties of covariant Schroedinger semigroups.- Integral kernels for covariant Schroedinger semigroup.- Essential self-adjointness of covariant Schroedinger semigroups.- Form cores.- Applications.