A note on the convolution in the Mellin sense with generalized functions.
Kilicman, Adem, Kamel Ariffin, Muhammad Rezal (2002)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Displaying similar documents to “On a new approach to convolution constructions.”
A note on the convolution in the Mellin sense with generalized functions.
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Vu Kim Tuan, Saigo, Megumi (1995)
International Journal of Mathematics and Mathematical Sciences
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Convolution equations in the space of Laplace distributions
Maria E. Pliś (1998)
Annales Polonici Mathematici
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A formal solution of a nonlinear equation P(D)u = g(u) in 2 variables is constructed using the Laplace transformation and a convolution equation. We assume some conditions on the characteristic set Char P.
On a generalization of the convolution
E. Gesztelyi (1970)
Annales Polonici Mathematici
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Yürekli, O., Sadek, I. (1991)
International Journal of Mathematics and Mathematical Sciences
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Belgacem, Fethi Bin Muhammed, Karaballi, Ahmed Abdullatif (2006)
Journal of Applied Mathematics and Stochastic Analysis
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On a new integral transform and differential equations.
Kiliçman, A., Eltayeb, H. (2010)
Mathematical Problems in Engineering
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A Convolution Connected with the Kontorovich-Lebedev Transform.
Hans-Jürgen, Heß, Albrecht Glaeske (1986)
Mathematische Zeitschrift
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A Direct Approach to the Mellin Transform.
Paul L. Butzer, Stefan Jansche (1997)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
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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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A characterization of Fourier transforms
Philippe Jaming (2010)
Colloquium Mathematicae
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The aim of this paper is to show that, in various situations, the only continuous linear (or not) map that transforms a convolution product into a pointwise product is a Fourier transform. We focus on the cyclic groups ℤ/nℤ, the integers ℤ, the torus 𝕋 and the real line. We also ask a related question for the twisted convolution.
On the solution of distributional Abel integral equation by distributional Sumudu transform.
Loonker, Deshna, Banerji, P.K. (2011)
International Journal of Mathematics and Mathematical Sciences
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Convolution in Colombeau's Spaces of Generalized Functions; Part I: the Space Ga and the A-integral
Marko Nedeljkov, Stevan Pilipović (1992)
Publications de l'Institut Mathématique
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