Covariant Schrödinger Semigroups on Riemannian Manifolds
This monograph discusses covariant Schrödinger operators and their heat semigroups on noncompact Riemannian manifolds and aims to fill a gap in the literature, given the fact that the existing literature on Schrödinger operators has mainly focused on scalar Schrödinger operators on Euclidean spaces...
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| Format: | Electronic eBook |
| Language: | English |
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Cham :
Springer International Publishing : Imprint: Birkhäuser,
2017.
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| Series: | Operator Theory: Advances and Applications,
264 |
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| Online Access: | Full Text via HEAL-Link |
Table of Contents:
- 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.
