René L. Schilling

activity

20182021

most citedA probabilistic proof of Schoenberg's theorem

6 citations · 8 across the 3 of their papers we have counts for

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math.PR2021★ 1 cited

Lévy Processes, Generalized Moments and Uniform Integrability

David Berger, Franziska Kühn, René L. Schilling

We give new proofs of certain equivalent conditions for the existence of generalized moments of a Lévy process $(X_{t})_{t \geq 0}$ ; in particular, the existence of a generalized $g$ -…

math.PR2018★ 6 cited

A probabilistic proof of Schoenberg's theorem

Franziska Kühn, René L. Schilling

Assume that $g (∣ ξ ∣^{2})$ , $ξ \in R^{k}$ , is for every dimension $k \in N$ the characteristic function of an infinitely divisible random variable $X^{k}$ . By a classical res…