On the polyconvolution with weight function \(\gamma (y) = \cos y\) for Hartley integral transforms \({\mathcal{H}}_1\), \({\mathcal{H}}_2\), \({\mathcal{H}}_1\) and integral equations

DOI10.1007/S11253-023-02221-7OpenAlexW4387399179MaRDI QIDQ6083232

Nguyen Minh Khoa, T. V. Thang

Publication date: 31 October 2023

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-023-02221-7

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Cites Work

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• Operational properties of two integral transforms of Fourier type and their convolutions
• The finite Hartley new convolutions and solvability of the integral equations with Toeplitz plus Hankel kernels
• Polyconvolution of Hartley integral transforms \(H_2\) and integral equations
• On the Hartley - Fourier sine generalized convolution
• Convolutions for the Fourier transforms with geometric variables and applications
• Some integral equations with 'nonrational' kernels

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