Abstract
Let H be a Schrodinger operator on the real line, where the potential is in L^1 and L^2. We define the perturbed Fourier transform F for H and show that F is an isometry from the absolute continuous subspace onto L^2. This property allows us to construct a kernel formula for spectral operators. The main theorem improves the author's previous result for certain short-range potentials.
| Original language | American English |
|---|---|
| Pages (from-to) | 294-296 |
| Number of pages | 3 |
| Journal | Analysis in Theory and Applications |
| Volume | 20 |
| Issue number | 3 |
| State | Published - Sep 2004 |
Keywords
- Schrödinger operator
- Spectral theory
DC Disciplines
- Mathematics