On a generalization of the convolution

E. Gesztelyi

Displaying similar documents to “On a generalization of the convolution”

Convolution in Colombeau's spaces of generalized functions. II: The convolution in $𝒢_{a}$ .

Nedeljkov, M., Pilipović, S. (1992)

Publications de l'Institut Mathématique. Nouvelle Série

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On a convolution type integral I

S. R. Yadava (1972)

Matematički Vesnik

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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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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.

The Neutrix Convolution Product x -r,- ○ x μ,+

Brian Fisher, Emin Özcag (1991)

Publications de l'Institut Mathématique

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The Gelfand transforms of a convolution measure algebra

Colin C. Graham (1975)

Colloquium Mathematicae

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Decomposability of point measures in generalized convolution algebras

J. Kucharczak (1988)

Colloquium Mathematicae

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A numerical constant associated with generalized convolutions

Kazimierz Urbanik (1987)

Colloquium Mathematicum

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A limit theorem for the q-convolution

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...