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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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