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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Kilicman, Adem, Kamel Ariffin, Muhammad Rezal (2002)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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S. R. Yadava (1972)
Matematički Vesnik
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E. Gesztelyi (1970)
Annales Polonici Mathematici
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Brian Fisher, Emin Özcag (1991)
Publications de l'Institut Mathématique
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Anna Kula (2011)
Banach Center Publications
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The q-convolution is a measure-preserving transformation which originates from non-commutative probability, but can also be treated as a one-parameter deformation of the classical convolution. We show that its commutative aspect is further certified by the fact that the q-convolution satisfies all of the conditions of the generalized convolution (in the sense of Urbanik). The last condition of Urbanik's definition, the law of large numbers, is the crucial part to be proved and the non-commutative...
Nedeljkov, M., Pilipović, S. (1992)
Publications de l'Institut Mathématique. Nouvelle Série
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Kislisçman, Adem (2003)
International Journal of Mathematics and Mathematical Sciences
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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.
Kazimierz Urbanik (1987)
Colloquium Mathematicum
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Stojanović, Mirjana (1996)
Novi Sad Journal of Mathematics
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Semyon B. Yakubovich, Yurii F. Luchko (1991)
Extracta Mathematicae
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An integral analog of the Leibniz rule for the operators of fractional calculus was considered in paper [1]. These operators are known to belong to the class of convolution transforms [2]. It seems very natural to try to obtain some new integral analog of the Leibniz rule for other convolution operators. We have found a general method for constructing such integral analogs on the base of notion of G-convolution [4]. Several results obtained by this method are represented in this article. ...
J. Kucharczak (1973)
Colloquium Mathematicae
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Kazimierz Urbanik (1967)
Colloquium Mathematicum
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J. Kucharczak (1988)
Colloquium Mathematicae
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Brian Fisher (1991)
Annales Polonici Mathematici
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Vu Kim Tuan, Saigo, Megumi (1995)
International Journal of Mathematics and Mathematical Sciences
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