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On the free convolution with a semi-circular distribution

Indiana University Mathematics Journal (1997) 46(3) 705-718
DOI: 10.1512/iumj.1997.46.1467
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Abstract

We give a formula for the density of the free convolution of an arbitrary probability measure with a semicircular distribution. We use this formula to establish a certain number of regularity properties of the measures obtained in this way.

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Biane, P. (1997). On the free convolution with a semi-circular distribution. Indiana University Mathematics Journal, 46(3), 705–718. https://doi.org/10.1512/iumj.1997.46.1467

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