Geodesic
Infinitely divisible cylindrical measures on Banach spaces
Markus Riedle1
1 Department of Mathematics King's College London London WC2R 2LS, UK
Studia Mathematica, Tome 207 (2011) no. 3, pp. 235-256

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

In this work infinitely divisible cylindrical probability measures on arbitrary Banach spaces are introduced. The class of infinitely divisible cylindrical probability measures is described in terms of their characteristics, a characterisation which is not known in general for infinitely divisible Radon measures on Banach spaces. Further properties of infinitely divisible cylindrical measures such as continuity are derived. Moreover, the classification result enables us to deduce new results on genuine Lévy measures on Banach spaces.
DOI : 10.4064/sm207-3-2
Keywords: work infinitely divisible cylindrical probability measures arbitrary banach spaces introduced class infinitely divisible cylindrical probability measures described terms their characteristics characterisation which known general infinitely divisible radon measures banach spaces further properties infinitely divisible cylindrical measures continuity derived moreover classification result enables deduce results genuine measures banach spaces

Markus Riedle 1

1 Department of Mathematics King's College London London WC2R 2LS, UK 
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Markus Riedle. Infinitely divisible cylindrical measures on Banach spaces. Studia Mathematica, Tome 207 (2011) no. 3, pp. 235-256. doi: 10.4064/sm207-3-2

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