ON HILBERT TRANSFORM OF GABOR AND WILSON SYSTEMS

DOI10.1142/S021969131450012XzbMath1296.42018OpenAlexW2159671779MaRDI QIDQ5411710

Suman Panwar, Abdullah M. Jarrah

Publication date: 25 April 2014

Published in: International Journal of Wavelets, Multiresolution and Information Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021969131450012x

zbMATH Keywords

Hilbert transformframesframe operatoranalytic functionsintegral representationsGabor framescontinuous framesWilson framesGabor Bessel sequenceWilson Bessel sequence

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) General harmonic expansions, frames (42C15) Approximation by other special function classes (41A30) Conjugate functions, conjugate series, singular integrals (42A50)

Related Items (3)

Approximations using Hilbert transform of wavelets ⋮ On discrete time Wilson systems ⋮ Characterizations of Wilson systems using roots of polynomials

Cites Work

• A Simple Wilson Orthonormal Basis with Exponential Decay
• Ten Lectures on Wavelets
• On the Hilbert Transform of Wavelets
• The Bedrosian identity for the Hilbert transform of product functions

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