Fractional wave packet systems in L2(R)

DOI10.1063/1.5047649zbMath1397.42028OpenAlexW2884790150MaRDI QIDQ4583130

Palle E. T. Jorgensen, Owais Ahmad, Firdous Ahmad Shah

Publication date: 27 August 2018

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5047649

zbMATH Keywords

Hilbert spaceframesGabor systemsFourier-type transformsorthogonal propertiesfractional wave packet systems

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) General harmonic expansions, frames (42C15)

Related Items

Quaternionic linear canonical wave packet transform, Composition of wavelet transforms and wave packet transform involving Kontorovich-Lebedev transform, Fractional biorthogonal wavelets in L²(ℝ), Characterization of tight wavelet frames with composite dilations in L2(Rn), Fractional multiresolution analysis and associated scaling functions in \(L^2(\mathbb{R})\), Construction of nonuniform periodic wavelet frames on non-Archimedean fields, Inequalities for wavelet frames with composite dilations in \(L^2(\mathbb{R}^n)\), Explicit construction of tight nonuniform framelet packets on local fields, Nonuniform biorthogonal wavelets on positive half line via Walsh Fourier transform, Nonuniform multiresolution analysis associated with linear canonical transform, Clifford-valued wave-packet transform with applications to benchmark signals, AB-wavelet frames in L2(Rn)

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