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Differential operators admitting various rates of spectral projection growth
- 1.0474569 - ÚJF 2018 RIV US eng J - Journal Article
Mityagin, B. - Siegl, Petr - Viola, J.
Differential operators admitting various rates of spectral projection growth.
Journal of Functional Analysis. Roč. 272, č. 8 (2017), s. 3129-3175. ISSN 0022-1236. E-ISSN 1096-0783
Institutional support: RVO:61389005
Keywords : harmonic and anharmonic oscillators * Hennite functions * spectral projections * Riesz basis
OECD category: Pure mathematics
Impact factor: 1.326, year: 2017
We consider families of non-self-adjoint perturbations of selfadjoint Schriirlinger operators with single-well potentials. The norms of spectral projections of these operators are found to grow at intermediate rates from arbitrarily slowly to exponentially rapidly.
Permanent Link: http://hdl.handle.net/11104/0271591
Number of the records: 1