Localization operators for curvelet transforms

DOI10.1007/s11868-011-0043-4zbMath1268.42074OpenAlexW1983352287MaRDI QIDQ1758374

Jiawei Li, Man-Wah Wong

Publication date: 9 November 2012

Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11868-011-0043-4

zbMATH Keywords

tracewavelet transformstrace classlocalization operatorswavelet multiplierscurvelet transformsresolution identity formulas

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Signal theory (characterization, reconstruction, filtering, etc.) (94A12)

Related Items (5)

Boundedness and compactness of localization operators for Weinstein-Wigner transform ⋮ Linear canonical ripplet transform: theory and localization operators ⋮ Localization operators and wavelet multipliers involving two-dimensional linear canonical curvelet transform ⋮ Sparsity of matrices of localization operators for curvelet transforms ⋮ An intertwining of curvelet and linear canonical transforms

Cites Work

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• Wavelet transforms and localization operators
• Polar wavelet transforms and localization operators
• Continuous curvelet transform. II: Discretization and frames
• Discrete Fourier Analysis
• Ten Lectures on Wavelets
• Wavelet multipliers and signals
• Phases of modified Stockwell transforms and instantaneous frequencies
• Continuous and discrete inversion formulas for the Stockwell transform
• Traces and determinants of linear operators

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