### On the Fresnel integrals and the convolution.

Kiliçman, Adem, Fisher, Brian (2003)

International Journal of Mathematics and Mathematical Sciences

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Kiliçman, Adem, Fisher, Brian (2003)

International Journal of Mathematics and Mathematical Sciences

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S. R. Yadava (1972)

Matematički Vesnik

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Brian Fisher, Emin Özcag (1991)

Publications de l'Institut Mathématique

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Nedeljkov, M., Pilipović, S. (1992)

Publications de l'Institut Mathématique. Nouvelle Série

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Brian Fisher (1991)

Annales Polonici Mathematici

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Kazimierz Urbanik (1987)

Colloquium Mathematicum

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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...

J. Kucharczak (1988)

Colloquium Mathematicae

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E. Gesztelyi (1970)

Annales Polonici Mathematici

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Stojanović, Mirjana (1996)

Novi Sad Journal of Mathematics

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J. Kucharczak (1973)

Colloquium Mathematicae

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Kazimierz Urbanik (1967)

Colloquium Mathematicum

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Charles W. Swartz (1975)

Czechoslovak Mathematical Journal

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Kazimierz Urbanik (1987)

Colloquium Mathematicum

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