On a convolution type integral I
S. R. Yadava (1972)
Matematički Vesnik
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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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J. Kucharczak (1988)
Colloquium Mathematicae
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J. Kucharczak (1973)
Colloquium Mathematicae
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Kazimierz Urbanik (1967)
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...
E. Gesztelyi (1970)
Annales Polonici Mathematici
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Stojanović, Mirjana (1996)
Novi Sad Journal of Mathematics
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Brian Fisher (1991)
Annales Polonici Mathematici
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Kazimierz Urbanik (1987)
Colloquium Mathematicum
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Kislisçman, Adem (2003)
International Journal of Mathematics and Mathematical Sciences
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W. Okrasiński (1980)
Annales Polonici Mathematici
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Kilicman, Adem, Kamel Ariffin, Muhammad Rezal (2002)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Zeev (Vladimir) Volkovich, Dvora Toledano-Kitai, Renata Avros (2010)
Banach Center Publications
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The paper is, for the most part, devoted to a survey of the analytical properties of generalized convolution algebras and their realizations. This issue appears to be the state of the art until now because intensive research on the generalized convolution and the related models still persists.
Neil W. Rickert (1968)
Colloquium Mathematicae
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Daniel M. Oberlin (1982)
Colloquium Mathematicae
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