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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 NaturalSciences and Engineering Research Council of Canada.

Abstract

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We prove that localization operators associated to ridgelet transforms withLp symbols are boundedlinear operators on L2(Rn).Operators closely related to these localization operators are shown to be in the traceclass 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

Information

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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