Displaying similar documents to “The operation of infimal convolution”

On a theorem of M. Itô

Gunnar Forst (1978)

Annales de l'institut Fourier

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The note gives a simple proof of a result of M. Itô, stating that the set of divisors of a convolution kernel is a convex cone.

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...