Math. Model. Nat. Phenom.
Volume 9, Number 5, 2014Spectral problems
|Page(s)||194 - 203|
|Published online||17 July 2014|
Localization Operators for Ridgelet Transforms
Department of Mathematics and Statistics, York
University 4700 Keele Street, Toronto, Ontario
Corresponding author. E-mail: email@example.com 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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.