47 citations · 322 across the 54 of their papers we have counts for
Showing 2011 · math.PRShow all
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math.PR2011★ 10 cited
On a class of explicit Cauchy-Stieltjes transforms related to monotone stable and free Poisson laws
Octavio Arizmendi, Takahiro Hasebe
We consider a class of probability measures which have explicit Cauchy-Stieltjes transforms. This class includes a symmetric beta distribution, a free Poisson law and s…
math.PR2011★ 1 cited
Fourier and Cauchy-Stieltjes transforms of power laws including stable distributions
Takahiro Hasebe
We introduce a class of probability measures whose densities near infinity are mixtures of Pareto distributions. This class can be characterized by the Fourier transform which has…
math.PR2011★ 6 cited
Semigroups related to additive and multiplicative, free and Boolean convolutions
Octavio Arizmendi, Takahiro Hasebe
Belinschi and Nica introduced a composition semigroup on the set of probability measures. Using this semigroup, they introduced a free divisibility indicator, from which one can kn…