On the generalized Hartley-Hilbert and Fourier-Hilbert transforms

DOI10.1186/1687-1847-2012-232zbMath1381.42006OpenAlexW2114897301WikidataQ59288169 ScholiaQ59288169MaRDI QIDQ1690875

Adem Kilicman, Shrideh K. Q. Al-Omari

Publication date: 12 January 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2012-232

zbMATH Keywords

Fourier transformHartley transformHilbert transformBoehmian spaceHartley-Hilbert transform

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Related Items (20)

Estimates of certain paraxial diffraction integral operator and its generalized properties ⋮ Extension of generalized Fox's \(H\)-function operator to certain set of generalized integrable functions ⋮ A new version of the generalized Krätzel-Fox integral operators ⋮ Some extensions of a certain integral transform to a quotient space of generalized functions ⋮ Unnamed Item ⋮ Unnamed Item ⋮ A class of Boehmians for a recent generalization of Hankel-Clifford transformation of arbitrary order ⋮ Unnamed Item ⋮ Some remarks on the extended Hartley-Hilbert and Fourier-Hilbert transforms of Boehmians ⋮ On a class of generalized Meijer-Laplace transforms of Fox function type kernels and their extension to a class of Boehmians ⋮ Estimation of the generalized Bessel-Struve transform in a space of generalized functions ⋮ An extension of the Bessel-Wright transform in the class of Boehmians ⋮ A fractional Fourier integral operator and its extension to classes of function spaces ⋮ On the exponential Radon transform and its extension to certain functions spaces ⋮ On the generalized Hartley and Hartley-Hilbert transformations ⋮ On modified Mellin transform of generalized functions ⋮ On the Sumudu transform and its extension to a class of Boehmians ⋮ An extension of some variant of Meijer type integrals in the class of Boehmians ⋮ On the generalized Krätzel transform and its extension to Bohemian spaces ⋮ Some characteristics of S transforms in a class of rapidly decreasing Boehmians

Cites Work

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• The Support of Mikusinski Operators
• A Comparison on the Commutative Neutrix Convolution of Distributions and the Exchange Formula
• Fourier sine (cosine) transform for ultradistributions and their extensions to tempered and ultraBoehmian spaces
• A new integral transform and associated distributions
• Tempered Boehmians and Ultradistributions
• A commutative neutrix product of ultradistributions

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