Towards the theory of Schrödinger semigroups. I
✍ Scribed by V. F. Kovalenko; Yu. A. Semenov
- Book ID
- 112472733
- Publisher
- Springer
- Year
- 1989
- Tongue
- English
- Weight
- 301 KB
- Volume
- 41
- Category
- Article
- ISSN
- 0041-5995
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📜 SIMILAR VOLUMES
## Abstract This paper is concerned with emptyness of the essential spectrum, or equivalently compactness of the semigroup, for perturbations of self‐adjoint operators that are bounded below (on an __L__^2^‐space). For perturbations by a (nonnegative) potential we obtain a simple criterion for com
Suppose that \(X_{1}\) is the standard Brownian motion in \(R^{d}, d \geqslant 3\), that \(\rho \in H^{1}\left(R^{d}\right)\) is a bounded continuous function such that \(|\nabla \rho|^{2}\) belongs to the Kato class and \(\mu\) is a measure belonging to the Kato class. Let \(A_{t}^{[\rho]}\) be def