Please use this identifier to cite or link to this item: http://cimat.repositorioinstitucional.mx/jspui/handle/1008/628
The S-Transform of Symmetric Probability Measures With Unbounded Supports
VICTOR MANUEL PEREZ ABREU CARRION
Acceso Abierto
Atribución-NoComercial
Operadores de Algebras
The Voiculescu S -transform is an analytic tool for computing free multiplicative convolu- tions of probability measures. It has been stud ied for probability measures with nonnegative support and for probability measures having all moments and zero mean. We extend the S -transform to symmetric probability measu res with unbounded support and without mo- ments. As an application, a representation of s ymmetric free stable measures is derived as a multiplicative convolution of the semicircle measure with a positive free stable measure.
Centro de Investigación en Matemáticas AC
19-11-2008
Reporte
Inglés
Investigadores
OTRAS
Versión publicada
publishedVersion - Versión publicada
Appears in Collections:Reportes Técnicos - Probabilidad y Estadística

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