On the existence and uniqueness of non-negative solutions of a certain non-linear convolution equation

W. Okrasiński

Displaying similar documents to “On the existence and uniqueness of non-negative solutions of a certain non-linear convolution equation”

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A limit theorem for the q-convolution

Anna Kula (2011)

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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...