47 citations · 322 across the 54 of their papers we have counts for
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Analytic continuations of Fourier and Stieltjes transforms and generalized moments of probability measures
Takahiro Hasebe
We consider analytic continuations of Fourier transforms and Stieltjes transforms. This enables us to define what we call complex moments for some class of probability measures whi…
A three-state independence in non-commutative probability
Takahiro Hasebe
We define a new independence in non-commutative probability, called -freeness, with respect to a triplet of states. This concept unifies several independences in non-commutative…
Joint cumulants for natural independence
Takahiro Hasebe, Hayato Saigo
Many kinds of independence have been defined in non-commutative probability theory. Natural independence is an important class of independence; this class consists of five independ…
On monotone convolution and monotone infinite divisivility
Takahiro Hasebe
This article focuses on properties of monotone convolutions. A criterion for infinite divisibility and time evolution of convolution semigroups are mainly studied. In particular, w…