New inversion, convolution and Titchmarsh's theorems for the half-Hilbert transform

DOI10.1080/10652469.2014.949257zbMath1317.44003arXiv1312.1927OpenAlexW2086784877MaRDI QIDQ2929834

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/1312.1927

zbMATH Keywords

Mellin transformsingular integral equationsHilbert transformconvolution methodTitchmarsh 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 (2)

Unifying discrete and integral transforms through the use of a Banach algebra ⋮ The Markov–Stieltjes transform on Hardy and Lebesgue spaces

Cites Work

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