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Differential operators admitting various rates of spectral projection growth

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    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

     
     
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