Taylor expansions of R-transforms, application to supports and moments
| dc.creator | Benaych-Georges, Florent | |
| dc.date | 2004-10-21 | |
| dc.date | 2006-01-04 | |
| dc.date.accessioned | 2026-07-07T06:38:55Z | |
| dc.date.available | 2026-07-07T06:38:55Z | |
| dc.description | We prove that a probability measure on the real line has a moment of order p (even integer), if and only if its R-transform admits a Taylor expansion with p terms. We also prove a weaker version of this result when p is odd. Then, we apply this to prove that a probability measure whose R-transform extends analytically to a ball with center zero is compactly supported, and that a free infinitely divisible distribution has a moment of order p even, if and only if its Levy measure does so. We also prove a weaker version of the last result when p is odd. | |
| dc.description | to appear in Indiana University Mathematics Journal | |
| dc.identifier | https://arxiv.org/abs/math/0410459 | |
| dc.identifier | http://arxiv.org/abs/math/0410459 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/100910 | |
| dc.subject | Probability | |
| dc.subject | Operator Algebras | |
| dc.subject | 60E10;46L54;60E07 | |
| dc.title | Taylor expansions of R-transforms, application to supports and moments | |
| dc.type | text |