Bendlet transforms: a mathematical perspective

DOI10.1080/17476933.2021.1921750zbMath1494.42011OpenAlexW3158550214MaRDI QIDQ5094525

Azhar Y. Tantary, Waseem Z. Lone, Firdous Ahmad Shah

Publication date: 3 August 2022

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2021.1921750

zbMATH Keywords

waveletuncertainty principlequaternion algebraPitt's inequalityshearletbendlet

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) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) General harmonic expansions, frames (42C15) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23) Harmonic analysis and PDEs (42B37)

Related Items (2)

Linear canonical ripplet transform: theory and localization operators ⋮ Two-dimensional fractional shearlet transforms in \(L^2({\mathbb{R}}^2)\)

Cites Work

• Unnamed Item
• Multidimensional quaternionic Gabor transforms
• Characterization of piecewise-smooth surfaces using the 3D continuous shearlet transform
• Shearlets. Multiscale analysis for multivariate data.
• Polar wavelet transform and the associated uncertainty principles
• The uncertainty principle: A mathematical survey
• Bendlets: a second-order shearlet transform with bent elements
• New uncertainty principles for the continuous Gabor transform and the continuous wavelet transform
• An intertwining of curvelet and linear canonical transforms
• Continuous curvelet transform. I: Resolution of the wavefront set
• Quaternionic Stockwell transform
• Wavelet Transforms and Their Applications
• Characterization and Analysis of Edges Using the Continuous Shearlet Transform
• Wavelet-based integral representation for solutions of the wave equation
• Pitt's Inequality and the Uncertainty Principle
• Uncertainty principles for the continuous shearlet transforms in arbitrary space dimensions
• Lecture Notes on Wavelet Transforms
• The Uncertainty Principle: Global, Local, or Both?
• Non-isotropic angular Stockwell transform and the associated uncertainty principles

This page was built for publication: Bendlet transforms: a mathematical perspective