On the Fourier-sine and Kontorovich-Lebedev generalized convolution transforms and their applications

DOI10.1007/S11253-020-01782-1zbMath1448.42017OpenAlexW3023955885MaRDI QIDQ2203106

Yanyan Li

Publication date: 1 October 2020

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

Full work available at URL: https://doi.org/10.1007/s11253-020-01782-1

zbMATH Keywords

Watson-type theoremYoung-type inequality

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Operations with distributions and generalized functions (46F10) Convolution, factorization for one variable harmonic analysis (42A85)

Related Items (3)

Boundedness in \(L_p\) spaces for the Hartley-Fourier convolutions operator and their applications ⋮ Some results of Watson and Plancherel‐type integral transforms related to the Hartley, Fourier convolutions and applications ⋮ Operational properties of the Hartley convolution and its applications

Cites Work

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• On the generalized convolution for the Fourier sine and the Kontorovich-Lebedev transforms
• Symmetries of integro-differential equations. With applications in mechanics and plasma physics
• Integral transforms of Fourier cosine convolution type
• Integral transforms of the Kontorovich-Lebedev convolution type
• Integral transforms related to a generalized convolution
• Convolutions related to the Fourier and Kontorovich–Lebedev transforms revisited
• A class of integral transforms related to the fourier cosine convolution
• A Class of Integral Transforms
• Operational Calculus and Related Topics

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