The Plancherel, Titchmarsh and convolution theorems for the half-Hartley transform

DOI10.1080/10652469.2014.928706zbMath1306.44006arXiv1401.3143OpenAlexW2035680768MaRDI QIDQ2929822

Semyon B. Yakubovich

Publication date: 14 November 2014

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.3143

zbMATH Keywords

Hartley transformconvolution methodPlancherel theoremMellin convolutionhomogeneous integral equationTitchmarsh theorem

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Special integral transforms (Legendre, Hilbert, etc.) (44A15) 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)

New inversion, convolution and Titchmarsh's theorems for the half-Hilbert transform ⋮ 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 half-Hartley transform, its iteration and compositions with Fourier transforms ⋮ L^p-boundedness and compactness of wavelet multipliers for integral operators

Cites Work

• Unnamed Item
• On the generalized fourier sine- and cosine-transforms
• The half-Hartley and the half-Hilbert transform
• Erratum: The half-Hartley and half-Hilbert transforms [J. Math. Phys. 35, 2648 (1994)]
• On the inversion formula of the half-Hartley transform

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