Quadratic-phase orthonormal wavelets

DOI10.1515/GMJ-2023-2022zbMath1529.42036MaRDI QIDQ6111567

P. B. Sharma

Publication date: 4 August 2023

Published in: Georgian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Fourier transformmultiresolution analysisorthonormal waveletsquadratic-phase 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) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Fourier series and coefficients in several variables (42B05)

Cites Work

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• New convolutions for quadratic-phase Fourier integral operators and their applications
• Pseudo-differential operator associated with quadratic-phase Fourier transform
• Composition of quadratic-phase Fourier wavelet transform
• Convolution and product theorems for the quadratic-phase Fourier transform
• The generalized continuous wavelet transform associated with the fractional Fourier transform
• Ten Lectures on Wavelets
• Multiresolution Approximations and Wavelet Orthonormal Bases of L 2 (R)
• The linear canonical wavelet transform on some function spaces
• Generalized wavelet frames
• The quadratic‐phase Fourier wavelet transform
• Linear Canonical Transformations and Their Unitary Representations
• An introduction to frames and Riesz bases
• Abelian theorems for quadratic-phase Fourier wavelet transform

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