On the Fourier cosine—Kontorovich-Lebedev generalized convolution transforms

Nguyen Thanh Hong; Trinh Tuan; Nguyen Xuan Thao

Displaying similar documents to “On the Fourier cosine—Kontorovich-Lebedev generalized convolution transforms”

On the polyconvolution with the weight function for the Fourier cosine, Fourier sine, and the Kontorovich-Lebedev integral transforms.

Nguyen Xuan Thao (2010)

Mathematical Problems in Engineering

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Generalized Convolution Transforms and Toeplitz Plus Hankel Integral Equations

Xuan Thao, Nguyen, Kim Tuan, Vu, Thanh Hong, Nguyen (2008)

Fractional Calculus and Applied Analysis

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Mathematics Subject Classification: 44A05, 44A35 With the help of a generalized convolution and prove Watson’s and Plancherel’s theorems. Using generalized convolutions a class of Toeplitz plus Hankel integral equations, and also a system of integro-differential equations are solved in closed form.

Integral transforms of Fourier cosine and sine generalized convolution type.

Nguyen Xuan Thao, Vu Kim Tuan, Nguyen Thanh Hong (2007)

International Journal of Mathematics and Mathematical Sciences

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Solving singular convolution equations using the inverse fast Fourier transform

Eduard Krajník, Vincente Montesinos, Peter Zizler, Václav Zizler (2012)

Applications of Mathematics

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The inverse Fast Fourier Transform is a common procedure to solve a convolution equation provided the transfer function has no zeros on the unit circle. In our paper we generalize this method to the case of a singular convolution equation and prove that if the transfer function is a trigonometric polynomial with simple zeros on the unit circle, then this method can be extended.

A note on the convolution theorem for the Fourier transform

Charles S. Kahane (2011)

Czechoslovak Mathematical Journal

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In this paper we characterize those bounded linear transformations $T f$ carrying $L^{1} (ℝ^{1})$ into the space of bounded continuous functions on $ℝ^{1}$ , for which the convolution identity $T (f * g) = T f \cdot T g$ holds. It is shown that such a transformation is just the Fourier transform combined with an appropriate change of variable.

Relationships among transforms, convolutions, and first variations.

Kim, Jeong Gyoo, Ko, Jung Won, Park, Chull, Skoug, David (1999)

International Journal of Mathematics and Mathematical Sciences

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