Integral transforms of Hartley–Fourier cosine polyconvolution type

DOI10.1080/00036811.2014.944172zbMath1369.44004OpenAlexW2084182988WikidataQ58243830 ScholiaQ58243830MaRDI QIDQ3195539

Phi Thi van Anh, Nguyen Xuan Thao

Publication date: 20 October 2015

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2014.944172

zbMATH Keywords

Fourier cosine transformintegro-differential equationssystemsHartley transformintegral equationsconvolutionsPlancherel theoremWatson theorempolyconvolutions

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Integro-ordinary differential equations (45J05) Special integral transforms (Legendre, Hilbert, etc.) (44A15) 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) Systems of nonsingular linear integral equations (45F05)

Related Items (2)

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

• 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
• Integral transforms related to a generalized convolution
• On the polyconvolution for Hartley, Fourier cosine and Fourier sine transforms
• On the Toeplitz plus Hankel integral equation II
• Toeplitz plus Hankel integral equation

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