| Issue |
Math. Model. Nat. Phenom.
Volume 9, Number 5, 2014
Spectral problems
|
|
|---|---|---|
| Page(s) | 194 - 203 | |
| DOI | https://doi.org/10.1051/mmnp/20149513 | |
| Published online | 17 July 2014 | |
Localization Operators for Ridgelet Transforms
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.
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.
Mathematics Subject Classification: 42C40 / 47G30
Key words: 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
© EDP Sciences, 2014
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