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 “Convolution of Hankel transform and its application to an integral involving Bessel functions of first kind.”
A note on the convolution in the Mellin sense with generalized functions.
Calderón's reproducing formula for Hankel convolution.
Pathak, R.S., Pandey, Gireesh (2006)
International Journal of Mathematics and Mathematical Sciences
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Convolution operators on Kucera-type spaces for the Hankel transformation
Jorge J. Betancor, Isabel Marrero (1997)
Czechoslovak Mathematical Journal
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On Hankel transform and Hankel convolution of Beurling type distributions having upper bounded support
M. Belhadj, Jorge J. Betancor (2004)
Czechoslovak Mathematical Journal
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In this paper we study Beurling type distributions in the Hankel setting. We consider the space of Beurling type distributions on having upper bounded support. The Hankel transform and the Hankel convolution are studied on the space . We also establish Paley Wiener type theorems for Hankel transformations of distributions in .
On a new approach to convolution constructions.
Yakubovich, S.B., Kalla, Shyam L. (1993)
International Journal of Mathematics and Mathematical Sciences
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A generalized Hankel convolution on Zemanian spaces.
Betancor, Jorge J. (2000)
International Journal of Mathematics and Mathematical Sciences
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Hankel convolution on distribution spaces with exponential growth
Jorge Betancor, Lourdes Rodríguez-Mesa (1996)
Studia Mathematica
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We study the Hankel transformation and Hankel convolution on spaces of distributions with exponential growth.
On a generalization of the convolution
E. Gesztelyi (1970)
Annales Polonici Mathematici
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On Hankel transformable distribution spaces.
Betancor, Jorge J. (1999)
Publications de l'Institut Mathématique. Nouvelle Série
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Convolution in Colombeau's spaces of generalized functions. II: The convolution in .
Nedeljkov, M., Pilipović, S. (1992)
Publications de l'Institut Mathématique. Nouvelle Série
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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.