Differential operators admitting various rates of spectral projection growth

Boris Mityagin; Petr Siegl; Joe Viola

doi:10.1016/j.jfa.2016.12.007

Differential operators admitting various rates of spectral projection growth

Boris Mityagin, Petr Siegl, Joe Viola^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

21 Citations (Scopus)

280 Downloads (Pure)

Abstract

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 language	English
Pages (from-to)	3129-3175
Number of pages	47
Journal	Journal of Functional Analysis
Volume	272
Issue number	8
Early online date	23 Dec 2016
DOIs	https://doi.org/10.1016/j.jfa.2016.12.007
Publication status	Published - 15 Apr 2017
Externally published	Yes

Keywords

Harmonic and anharmonic oscillators
Hermite functions
Riesz basis
Spectral projections

ASJC Scopus subject areas

Analysis

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10.1016/j.jfa.2016.12.007Licence: Unspecified

Differential operators admitting various rates of spectral projection growth
© 2016 Elsevier Inc. All rights reserved. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/,which permits distribution and reproduction for noncommercial purposes, provided the author and source are cited
Accepted author manuscript, 421 KBLicence: CC BY-NC-ND

Cite this

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title = "Differential operators admitting various rates of spectral projection growth",

abstract = "We consider families of non-self-adjoint perturbations of self-adjoint Schr{\"o}dinger 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.",

keywords = "Harmonic and anharmonic oscillators, Hermite functions, Riesz basis, Spectral projections",

author = "Boris Mityagin and Petr Siegl and Joe Viola",

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T1 - Differential operators admitting various rates of spectral projection growth

AU - Mityagin, Boris

AU - Siegl, Petr

AU - Viola, Joe

PY - 2017/4/15

Y1 - 2017/4/15

N2 - 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.

AB - 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.

KW - Harmonic and anharmonic oscillators

KW - Hermite functions

KW - Riesz basis

KW - Spectral projections

UR - https://www.scopus.com/pages/publications/85009487526

U2 - 10.1016/j.jfa.2016.12.007

DO - 10.1016/j.jfa.2016.12.007

M3 - Article

AN - SCOPUS:85009487526

SN - 0022-1236

VL - 272

SP - 3129

EP - 3175

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 8

ER -

Differential operators admitting various rates of spectral projection growth

Abstract

Keywords

ASJC Scopus subject areas

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