Differential operators admitting various rates of spectral projection growth
Spectral Theory
2017-01-17 v2 Mathematical Physics
Functional Analysis
math.MP
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.
Keywords
Cite
@article{arxiv.1309.3751,
title = {Differential operators admitting various rates of spectral projection growth},
author = {Boris Mityagin and Petr Siegl and Joe Viola},
journal= {arXiv preprint arXiv:1309.3751},
year = {2017}
}
Comments
35 pages, significant revisions, accepted version (published version may differ)