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...
| Main Author: | |
|---|---|
| Corporate Author: | |
| Language: | English |
| Published: |
Cham :
Springer International Publishing : Imprint: Birkhäuser,
2017.
|
| Edition: | 1st ed. 2017. |
| Series: | Operator Theory: Advances and Applications,
264 |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/978-3-319-68903-6 |
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.