Each Non-Zero Convolution Operator on the Entire Functions Admits a Continuous Linear Right Inverse.
Reinhold Meise, B. Alan Taylor (1988)
Mathematische Zeitschrift
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Displaying similar documents to “Hypercyclicity of convolution operators on spaces of entire functions”
Each Non-Zero Convolution Operator on the Entire Functions Admits a Continuous Linear Right Inverse.
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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...
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