A probabilistic proof of Schoenberg's theorem

DOI10.1016/j.jmaa.2018.11.046zbMath1486.60032arXiv1808.00190OpenAlexW2886060716WikidataQ128934454 ScholiaQ128934454MaRDI QIDQ2633838

Franziska Kühn, Rene L. Schilling

Publication date: 10 May 2019

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.00190

zbMATH Keywords

subordinationtransition densityLévy processnegative definite functionHartman-Wintner condition

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Processes with independent increments; Lévy processes (60G51) Probability measures on topological spaces (60B05) Characteristic functions; other transforms (60E10) Brownian motion (60J65) Stable stochastic processes (60G52) Special properties of functions of several variables, Hölder conditions, etc. (26B35)

Related Items

Schauder estimates for equations associated with Lévy generators ⋮ Schauder estimates for Poisson equations associated with non-local Feller generators ⋮ A Liouville theorem for Lévy generators ⋮ Convolution inequalities for Besov and Triebel–Lizorkin spaces, and applications to convolution semigroups

Uses Software

• DLMF

Cites Work

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