On the polyconvolution with the weight function for the Fourier cosine, Fourier sine, and the Kontorovich-Lebedev integral transforms
DOI10.1155/2010/709607zbMath1198.44004OpenAlexW1969762939WikidataQ58653290 ScholiaQ58653290MaRDI QIDQ1958883
Publication date: 30 September 2010
Published in: Mathematical Problems in Engineering (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/227332
Fourier cosine transformFourier sine transformintegral equationsfactorizationconvolution integral equationsystems of integral equationsFourier convolutionpolyconvolutionKontorovich-Lebedev integral transformsToeplitz plus Hankel kernel
Convolution as an integral transform (44A35) Systems of singular linear integral equations (45F15) 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)
Cites Work
- Distributional convolutors for Fourier transform
- On the polyconvolution for the Fourier cosine and Fourier sine transforms
- A new convolution theorem for the Stieltjes transform and its application to a class of singular integral equations
- Convolution of Hankel transform and its application to an integral involving Bessel functions of first kind
- Convolutions related to the Fourier and Kontorovich–Lebedev transforms revisited
- Spaces of ${\mathcal D}_{L^p}-$type and the Hankel convolution
- A distributional convolution for a generalized finite Fourier transformation
- On the generalized convolution with a weight function for the Fourier sine and cosine transforms
- ON THE FINITE HILBERT TRANSFORMATION
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: On the polyconvolution with the weight function for the Fourier cosine, Fourier sine, and the Kontorovich-Lebedev integral transforms
