Mityagin, B.; Siegl, Petr (2016). Root system of singular perturbations of the harmonic oscillator type operators. Letters in mathematical physics, 106(2), pp. 147-167. Springer 10.1007/s11005-015-0805-7
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We analyze perturbations of the harmonic oscillator type operators in a Hilbert space H, i.e. of the self-adjoint operator with simple positive eigenvalues μ k satisfying μ k+1 − μ k ≥ Δ > 0. Perturbations are considered in the sense of quadratic forms. Under a local subordination assumption, the eigenvalues of the perturbed operator become eventually simple and the root system contains a Riesz basis.
Item Type: |
Journal Article (Original Article) |
|---|---|
Division/Institute: |
08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics |
UniBE Contributor: |
Siegl, Petr |
Subjects: |
500 Science > 510 Mathematics |
ISSN: |
0377-9017 |
Publisher: |
Springer |
Language: |
English |
Submitter: |
Olivier Bernard Mila |
Date Deposited: |
28 Dec 2015 13:51 |
Last Modified: |
05 Dec 2022 14:50 |
Publisher DOI: |
10.1007/s11005-015-0805-7 |
ArXiv ID: |
1307.6245v2 |
BORIS DOI: |
10.7892/boris.74321 |
URI: |
https://boris.unibe.ch/id/eprint/74321 |
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