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Ona relation between classical and free infinitely divisible transforms - MaRDI portal

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Ona relation between classical and free infinitely divisible transforms

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Publication:6288788

arXiv1707.02540MaRDI QIDQ6288788

Author name not available (Why is that?)

Publication date: 9 July 2017

Abstract: We study two ways (levels) of finding free-probability analogues of classical infinitely divisible measures. More precisely, we identify their Voiculescu transforms. For free-selfdecomposable measures we found the formula (a differential equation) for their background driving transforms. We illustrate our methods on the hyperbolic characteristic functions. As a by-product our approach may produce new formulas for some definite integrals.





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