Hostname: page-component-586b7cd67f-2brh9 Total loading time: 0 Render date: 2024-11-25T23:54:52.656Z Has data issue: false hasContentIssue false
  • English
  • Français

SPECTRAL ASYMPTOTICS OF THE NON-SELF-ADJOINT HARMONIC OSCILLATOR

Published online by Cambridge University Press:  01 October 2004

E. B. DAVIES  and
A. B. J. KUIJLAARS
E. B. DAVIES
Affiliation:
Department of Mathematics, King's College London, Strand, London WC2R 2LS, United [email protected]
A. B. J. KUIJLAARS
Affiliation:
Department of Mathematics, Katholieke Universiteit Leuven, Celestijnenlaan 200 B, 3001 Leuven, [email protected]
Get access

Abstract

An explicit asymptotic formula is obtained for the norms of the spectral projections of the non-self-adjoint harmonic oscillator $H$. It is deduced that the spectral expansion of $\rme^{-Ht}$ is norm convergent if and only if $t$ is greater than a certain explicit positive constant.

Keywords

34M1034L0547E0533C4534Exx
Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 70 , Issue 2 , October 2004 , pp. 420 - 426
Copyright
The London Mathematical Society 2004

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)