A convolution-based special affine wavelet transform

DOI10.1080/10652469.2020.1844196zbMath1483.65207OpenAlexW3098848857MaRDI QIDQ3383709

Azhar Y. Tantary, Ahmed I. Zayed, Firdous Ahmad Shah

Publication date: 16 December 2021

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2020.1844196

zbMATH Keywords

convolutionuncertainty principlewavelet transformcompositionPitt's inequalityspecial affine Fourier transform

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) Numerical methods for integral transforms (65R10)

Related Items (2)

Special affine multiresolution analysis and the construction of orthonormal wavelets in L²(ℝ) ⋮ Quadratic‐phase wavelet transform with applications to generalized differential equations

Cites Work

• Polar wavelet transform and the associated uncertainty principles
• Linear canonical transforms. Theory and applications
• The uncertainty principle: A mathematical survey
• New uncertainty principles for the continuous Gabor transform and the continuous wavelet transform
• A new fractional wavelet transform
• Sampling of compact signals in offset linear canonical transform domains
• Wavelet Transforms and Their Applications
• Generalization of the fractional Fourier transformation to an arbitrary linear lossless transformation an operator approach
• Pitt's Inequality and the Uncertainty Principle
• Uncertainty principles for the continuous shearlet transforms in arbitrary space dimensions
• Lecture Notes on Wavelet Transforms
• Convolution and Product Theorems for the Special Affine Fourier Transform

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