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Covariant Schrödinger Semigroups on Riemannian Manifolds (eBook, PDF)

• Format: PDF

Produktbeschreibung

Develops basic vector-bundle-valued objects of geometric analysis from scratch

Gives a detailed proof of the Feynman-Kac fomula with singular potentials on manifolds

Includes previously unpublished results

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Produktdetails

• Verlag: Springer International Publishing
• Seitenzahl: 239
• Erscheinungstermin: 22. Dezember 2017
• Englisch
• ISBN-13: 9783319689036
• Artikelnr.: 53064193

Inhaltsangabe

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.