Two-dimensional fractional shearlet transforms in \(L^2({\mathbb{R}}^2)\)

DOI10.1007/S13540-022-00109-0zbMath1503.42030OpenAlexW4309646876MaRDI QIDQ2110600

Waseem Z. Lone, Ahmed I. Zayed, Firdous Ahmad Shah

Publication date: 21 December 2022

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13540-022-00109-0

zbMATH Keywords

correlationconvolutiontwo-dimensional fractional Fourier transformshearlet transformcone-adapted shearlet transform

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Convolution as an integral transform (44A35) Fractional derivatives and integrals (26A33) Numerical methods for integral transforms (65R10) Fourier series and coefficients in several variables (42B05)

Cites Work

• Unnamed Item
• Shearlets. Multiscale analysis for multivariate data.
• Study of shearlet transform using block matrix dilation
• Fractional wavelet frames in \(L^{2}(\mathbb{R})\)
• Fractional convolution, fractional correlation and their translation invariance properties
• Characterization and Analysis of Edges Using the Continuous Shearlet Transform
• The Fractional Order Fourier Transform and its Application to Quantum Mechanics
• Two-dimensional fractional Fourier transform and some of its properties
• Bendlet transforms: a mathematical perspective
• Multidimensional fractional Fourier transform and generalized fractional convolution
• Lecture Notes on Wavelet Transforms

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