On the polyconvolution operator with a trigonometric weight function for the Hartley integral transforms and applications

DOI10.1080/10652469.2023.2230610OpenAlexW4382931769MaRDI QIDQ6061004

Nguyen Minh Khoa

Publication date: 30 October 2023

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

Full work available at URL: https://doi.org/10.1080/10652469.2023.2230610

zbMATH Keywords

integral equationconvolutionPlancherel's theoremWatson's theorempolyconvolutionHartley transforms

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) 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)

Cites Work

• On the half-Hartley transform, its iteration and compositions with Fourier transforms
• Integral transforms of Fourier cosine and sine generalized convolution type
• Operational properties of two integral transforms of Fourier type and their convolutions
• Integral transforms related to a generalized convolution
• Polyconvolution of Hartley integral transforms \(H_2\) and integral equations
• On the polyconvolution for Hartley, Fourier cosine and Fourier sine transforms
• On the Hartley - Fourier sine generalized convolution
• A criterion for a two-sided integral transform to be unitary
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