Finster, Felix and Schmid, Harald (2006) Spectral estimates and non-selfadjoint perturbations of spheroidal wave operators. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 601. pp. 71-107. ISSN 0075-4102,
Full text not available from this repository. (Request a copy)Abstract
We derive a spectral representation for the oblate spheroidal wave operator which is holomorphic in the aspherical parameter Omega in a neighborhood of the real line. For real Omega, estimates are derived for all eigenvalue gaps uniformly in Omega. The proof of the gap estimates is based on detailed estimates for complex solutions of the Riccati equation. The spectral representation for complex Omega is obtained using the theory of slightly non-selfadjoint perturbations.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | EQUATION; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Felix Finster |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 18 Jan 2021 09:02 |
| Last Modified: | 18 Jan 2021 09:02 |
| URI: | https://pred.uni-regensburg.de/id/eprint/33696 |
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