On the half-Hartley transform, its iteration and compositions with Fourier transforms

DOI10.1216/JIE-2014-26-4-581zbMath1307.44008arXiv1403.3848MaRDI QIDQ489295

Semyon B. Yakubovich

Publication date: 20 January 2015

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.3848

zbMATH Keywords

Mellin transformStieltjes transformsingular integral equationsFourier transformsHartley transformHilbert transformParseval equalityPlancherel theoremintegro-functional equations

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Integral equations with kernels of Cauchy type (45E05)

Related Items (7)

Harmonic analysis and Hartley transform associated with the generalized differential-difference operator ⋮ On the polyconvolution operator with a trigonometric weight function for the Hartley integral transforms and applications ⋮ On the Big Hartley transform ⋮ On the Hartley superconvolution ⋮ On the curious series related to the elliptic integrals ⋮ L^p-boundedness and compactness of wavelet multipliers for integral operators ⋮ The Markov–Stieltjes transform on Hardy and Lebesgue spaces

Cites Work

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• Applications of generalized convolutions associated with the Fourier and Hartley transforms
• The Plancherel, Titchmarsh and convolution theorems for the half-Hartley transform
• Products of groups with cyclic sylow p-subgroups and groups with nontrivial centers
• On the iterated Stieltjes transform and its convolution with applications to singular integral equations

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