论文信息 - Regularity for free multiplicative convolution on the unit circle

Regularity for free multiplicative convolution on the unit circle

It is shown that the free multiplicative convolution of two nondegenerate probability measures on the unit circle has no continuous singular part relative to arclength measure. Analogous results have long been known for free additive convolutions on the line and free multiplicative convolution on the positive half-line.

S. Belinschi | H. Bercovici | Ching-Wei Ho

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