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Continuity Properties of Integral Kernels Associated with Schrödinger Operators on Manifolds

✍ Scribed by Jochen Brüning; Vladimir Geyler; Konstantin Pankrashkin


Publisher
Springer
Year
2007
Tongue
English
Weight
342 KB
Volume
8
Category
Article
ISSN
1424-0637

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Spectrum of the Schrödinger Operator on
✍ S. Nayatani; H. Urakawa 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 595 KB

The spectrum and essential spectrum of the Schrödinger operator \(A+V\) on a complete manifold are studied. As applications, we determine the index of the catenoid of any dimension and the essential spectrum for several minimal submanifolds in the Euclidean space of the Jacobi operator arising from