Fundamental solutions and eigenfunction expansions for Schrödinger operators I. Fundamental solutions
✍ Scribed by Hitoshi Kitada
- Publisher
- Springer-Verlag
- Year
- 1988
- Tongue
- French
- Weight
- 440 KB
- Volume
- 198
- Category
- Article
- ISSN
- 0025-5874
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📜 SIMILAR VOLUMES
We consider the generalized Schro dinger operator &2++, where + is a nonnegative Radon measure in R n , n 3. Assuming that + satisfies certain scale-invariant Kato conditions and doubling conditions we establish the following bounds for the fundamental solution of &2++ in R n , where d(x, y, +) is
## Abstract We study in detail Schrödinger–type operators on a bounded interval of **R** with dissipative boundary conditions. The characteristic function of this operator is computed, its minimal self–adjoint dilation is constructed and the generalized eigenfunction expansion for the dilation is d