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Journal article
UNIFORM EIGENVALUE ESTIMATES FOR TIME-FREQUENCY LOCALIZATION OPERATORS
Journal of the London Mathematical Society, v 65(3), pp 720-732
Jun 2002
Featured in Collection : UN Sustainable Development Goals @ Drexel
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.
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Details
- Title
- UNIFORM EIGENVALUE ESTIMATES FOR TIME-FREQUENCY LOCALIZATION OPERATORS
- Creators
- F. DE MARI - Dipartimento di Metodi e Modelli Matematici, Piazzale J. F. Kennedy, Pad. D, 16129 Genova, ItalyH. G. Feichtinger - University of ViennaK. Nowak - Drexel University
- Publication Details
- Journal of the London Mathematical Society, v 65(3), pp 720-732
- Publisher
- Cambridge University Press
- Number of pages
- 13
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Computer Science
- Web of Science ID
- WOS:000177468900014
- Scopus ID
- 2-s2.0-0036401216
- Other Identifier
- 991019168436404721
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- Collaboration types
- Domestic collaboration
- International collaboration
- Web of Science research areas
- Mathematics