Multiresolution analysis for linear canonical \(\mathrm{S}\) transform

DOI10.1007/S43036-021-00164-ZzbMath1479.42016OpenAlexW3204636293MaRDI QIDQ2062296

Aamir H. Dar, M. Younus Bhat

Publication date: 27 December 2021

Published in: Advances in Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s43036-021-00164-z

zbMATH Keywords

multiresolution analysisorthogonalityscaling functionlinear canonical \(\mathrm{S}\) transform

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Integral operators (47G10) General harmonic expansions, frames (42C15) Other nonanalytic theory (11S85) Analysis on specific locally compact and other abelian groups (43A70)

Related Items (5)

Quaternion linear canonical S-transform and associated uncertainty principles ⋮ The algebra of \(2D\) Gabor quaternionic offset linear canonical transform and uncertainty principles: the algebra of \(2D\) Gabor quaternionic offset LCT and uncertainty principles ⋮ Quaternion offset linear canonical transform in one-dimensional setting ⋮ Linear canonical Hankel domain based Stockwell transform and associated Heisenberg's uncertainty principle ⋮ Fractional vector-valued nonuniform MRA and associated wavelet packets on \(L^2\big({\mathbb{R}},{\mathbb{C}}^M\big)\)

Cites Work

• Ten Lectures on Wavelets
• Multiresolution Approximations and Wavelet Orthonormal Bases of L 2 (R)

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