Some remarks on the extended Hartley-Hilbert and Fourier-Hilbert transforms of Boehmians

DOI10.1155/2013/348701zbMath1275.42004OpenAlexW2146446470WikidataQ58915999 ScholiaQ58915999MaRDI QIDQ369882

Shrideh K. Q. Al-Omari, Adem Kilicman

Publication date: 19 September 2013

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/348701

zbMATH Keywords

BoehmiansFourier-Hilbert transformHarley-Hilbert transform

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Related Items (4)

A class of Boehmians for a recent generalization of Hankel-Clifford transformation of arbitrary order ⋮ On a class of generalized Meijer-Laplace transforms of Fox function type kernels and their extension to a class of Boehmians ⋮ On the Sumudu transform and its extension to a class of Boehmians ⋮ On the generalized Krätzel transform and its extension to Bohemian spaces

Cites Work

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• On diffraction Fresnel transforms for Boehmians
• Fourier transform for integrable Boehmians
• Fourier and Hartley transforms -- a mathematical twin
• On the generalized Hartley-Hilbert and Fourier-Hilbert transforms
• Note on Boehmians for class of optical Fresnel wavelet transforms
• The Support of Mikusinski Operators
• Fourier sine (cosine) transform for ultradistributions and their extensions to tempered and ultraBoehmian spaces
• Tempered Boehmians and Ultradistributions

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