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Mathematical Modelling of Natural Phenomena Mathematical Modelling of Natural Phenomena

Article contents

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
E-mail address:
mwwong@mathstat.yorku.ca
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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 transforms wavelet transforms curvelet transforms wavelet multipliers ridgelet transforms Radon transforms resolution of the identity formulas continuous inversion formulas localization operators L2-boundedness trace class operators traces Lidskii’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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