Covariant Schrödinger Semigroups on Riemannian Manifolds (eBook, PDF)
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eBook, PDF

Covariant Schrödinger Semigroups on Riemannian Manifolds (eBook, PDF)

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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 so far. In particular, the book studies operators that act on sections of vector bundles. In addition, these operators are allowed to have unbounded potential terms, possibly with strong local singularities.The results presented here provide the first systematic study of such operators that is su...

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