Hostname: page-component-586b7cd67f-2brh9 Total loading time: 0 Render date: 2024-12-01T00:43:55.182Z Has data issue: false hasContentIssue false
  • English
  • Français

UNIFORM EIGENVALUE ESTIMATES FOR TIME-FREQUENCY LOCALIZATION OPERATORS

Published online by Cambridge University Press:  24 March 2003

F. DE MARI ,
H. G. FEICHTINGER  and
K. NOWAK
F. DE MARI
Affiliation:
Dipartimento di Metodi e Modelli Matematici, Piazzale J. F. Kennedy, Pad. D, 16129 Genova, Italy
H. G. FEICHTINGER
Affiliation:
Department of Mathematics, University of Vienna, Strudlhofgasse 4, A-1090 Vienna, Austria
K. NOWAK
Affiliation:
Department of Mathematics and Computer Science, Drexel University, 3141 Chestnut Street, Philadelphia, PA 19104-2875, USA
Get access

Abstract

Time-variant filters based on Calderón and Gabor reproducing formulas are important tools in time-frequency analysis. The paper studies the behavior of the eigenvalues of these filters. Optimal two-sided estimates of the number of eigenvalues contained in the interval $(\delta_1,\delta_2)$ , where $0<\delta_1<\delta_2<1$ , are obtained. The estimates cover large classes of localization domains and generating functions.

Type
Research Article
Information
Journal of the London Mathematical Society , Volume 65 , Issue 3 , June 2002 , pp. 720 - 732
Copyright
The London Mathematical Society, 2002

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.)