Quaternion linear canonical curvelet transform

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Numerical methods for integral transforms (65R10)

Cites Work

On uncertainty principle for quaternionic linear canonical transform
Linear canonical transforms. Theory and applications
The uncertainty principle: A mathematical survey
A simplified proof of uncertainty principle for quaternion linear canonical transform
Localization operators for curvelet transforms
Recovering edges in ill-posed inverse problems: Optimality of curvelet frames.
Quaternion and Clifford Fourier transforms and wavelets. Papers from a session of the 9th international conference on Clifford algebras and their applications, ICCA9, Weimar, Germany, July 15--20, 2011
New uncertainty principles for the continuous Gabor transform and the continuous wavelet transform
Multiresolution analysis for linear canonical \(\mathrm{S}\) transform
An uncertainty principle for quaternion Fourier transform
Quaternion Fourier transform on quaternion fields and generalizations
Continuous curvelet transform. I: Resolution of the wavefront set
Continuous curvelet transform. II: Discretization and frames
Resolution of the wavefront set using continuous shearlets
Uncertainty principles invariant under the fractional Fourier transform
New tight frames of curvelets and optimal representations of objects with piecewise C² singularities
Ridgelets: a key to higher-dimensional intermittency?
Linear Canonical Transformations and Their Unitary Representations
The curvelet representation of wave propagators is optimally sparse
Novel special affine wavelet transform and associated uncertainty principles
Linear canonical curvelet transform and the associated Heisenberg-type inequalities