Differential operators admitting various rates of spectral projection growth

Boris Mityagin, Petr Siegl, Joe Viola*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

18 Citations (Scopus)
238 Downloads (Pure)


We consider families of non-self-adjoint perturbations of self-adjoint Schrödinger 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.

Original languageEnglish
Pages (from-to)3129-3175
Number of pages47
JournalJournal of Functional Analysis
Issue number8
Early online date23 Dec 2016
Publication statusPublished - 15 Apr 2017
Externally publishedYes


  • Harmonic and anharmonic oscillators
  • Hermite functions
  • Riesz basis
  • Spectral projections

ASJC Scopus subject areas

  • Analysis


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