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Displaying similar documents to “On a theorem of M. Itô”

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...

Some remarks on the existence of a resolvent

Masanori Kishi (1975)

Annales de l'institut Fourier

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Noting that a resolvent is associated with a convolution kernel x satisfying the domination principle if and only if x has the dominated convergence property, we give some remarks on the existence of a resolvent.