Fractional nonuniform multiresolution analysis in L2(ℝ)

DOI10.1002/mma.7363zbMath1469.42032OpenAlexW3147691378MaRDI QIDQ5004503

Waseem Z. Lone, Hari M. Srivastava, Firdous Ahmad Shah

Publication date: 2 August 2021

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.7363

zbMATH Keywords

scaling functionfractional Fourier transformbiorthogonal waveletfractional waveletfractional filtersfractional nonuniform multiresolution analysis

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Integral operators (47G10) General harmonic expansions, frames (42C15)

Related Items (3)

Riesz multiresolution analysis on locally compact abelian groups: construction and exceptions ⋮ Special affine multiresolution analysis and the construction of orthonormal wavelets in L²(ℝ) ⋮ Fractional vector-valued nonuniform MRA and associated wavelet packets on \(L^2\big({\mathbb{R}},{\mathbb{C}}^M\big)\)

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