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arXiv · 1309.3751

Differential operators admitting various rates of spectral projection growth

Boris Mityagin·Petr Siegl·Joe Viola
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Abstract

We consider families of non-self-adjoint perturbations of self-adjoint harmonic and anharmonic oscillators. The norms of spectral projections of these operators are found to grow at intermediate rates from arbitrarily slowly to exponentially rapidly.

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Boris Mityagin, Petr Siegl, Joe Viola. 2017-01-16. Differential operators admitting various rates of spectral projection growth. https://doi.org/10.1016/j.jfa.2016.12.007

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