Number of the records: 1
Root System of Singular Perturbations of the Harmonic Oscillator Type Operators
- 1.
SYSNO ASEP 0458123 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Root System of Singular Perturbations of the Harmonic Oscillator Type Operators Author(s) Mityagin, B. (US)
Siegl, Petr (UJF-V) RIDNumber of authors 2 Source Title Letters in Mathematical Physics. - : Springer - ISSN 0377-9017
Roč. 106, č. 2 (2016), s. 147-167Number of pages 21 s. Publication form Print - P Language eng - English Country NL - Netherlands Keywords non-self-adjoint operators ; harmonic oscillator ; Riesz basis ; quadratic forms ; singular petentials Subject RIV BE - Theoretical Physics Institutional support UJF-V - RVO:61389005 UT WOS 000368734500001 EID SCOPUS 84955739272 DOI 10.1007/s11005-015-0805-7 Annotation 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 mu(k) satisfying mu(k+1) - mu(k) >= Delta > 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. Workplace Nuclear Physics Institute Contact Markéta Sommerová, sommerova@ujf.cas.cz, Tel.: 266 173 228 Year of Publishing 2017
Number of the records: 1