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Localization Operators for Ridgelet Transforms

Published online by Cambridge University Press:  17 July 2014

J. Li  and
M. W. Wong
J. Li
Affiliation:
Department of Mathematics and Statistics, York University 4700 Keele Street, Toronto, Ontario M3J 1P3, Canada
M. W. Wong*
Affiliation:
Department of Mathematics and Statistics, York University 4700 Keele Street, Toronto, Ontario M3J 1P3, Canada
*
⋆ Corresponding author. E-mail: mwwong@mathstat.yorku.ca This research has been supported by the Natural Sciences and Engineering Research Council of Canada.
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Abstract

We prove that localization operators associated to ridgelet transforms with Lp symbols are bounded linear operators on L2(Rn). Operators closely related to these localization operators are shown to be in the trace class and a trace formula for them is given.

Keywords

Gabor transformswavelet transformscurvelet transformswavelet multipliersridgelet transformsRadon transformsresolution of the identity formulascontinuous inversion formulaslocalization operatorsL2-boundednesstrace class operatorstracesLidskii’s formula
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 9 , Issue 5: Spectral problems , 2014 , pp. 194 - 203
Copyright
© EDP Sciences, 2014

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