On the generalized Hartley and Hartley-Hilbert transformations

DOI10.1186/1687-1847-2013-222zbMath1381.44017OpenAlexW2107068648WikidataQ59299607 ScholiaQ59299607MaRDI QIDQ681085

Adem Kilicman, Shrideh K. Q. Al-Omari

Publication date: 30 January 2018

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

Full work available at URL: https://doi.org/10.1186/1687-1847-2013-222

zbMATH Keywords

Boehmiansdistributionsconvolution theoremtest functionHartley-Hilbert transformation

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Integral transforms in distribution spaces (46F12) Special integral transforms (Legendre, Hilbert, etc.) (44A15)

Related Items (2)

Extension of generalized Fox's \(H\)-function operator to certain set of generalized integrable functions ⋮ A fractional Fourier integral operator and its extension to classes of function 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
• Tempered Boehmians and Ultradistributions
• A More Symmetrical Fourier Analysis Applied to Transmission Problems

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