T
Takahiro Hasebe
Researcher at Hokkaido University
Publications - 98
Citations - 848
Takahiro Hasebe is an academic researcher from Hokkaido University. The author has contributed to research in topics: Monotone polygon & Multiplicative function. The author has an hindex of 16, co-authored 93 publications receiving 737 citations. Previous affiliations of Takahiro Hasebe include University of Franche-Comté & Kyoto University.
Papers
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Limit theorems for free Lévy processes
TL;DR: In this paper, different limit theorems for additive and multiplicative free Levy processes were investigated, and it was shown that the additive case converges to the Dykema-Haagerup distribution at small or large times.
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Radial Bargmann representation for the Fock space of type B
TL;DR: In this paper, the radial Bargmann representation of the distribution of the Gaussian process over the Fock space of type B has been studied, and the main purpose of this paper is to find a non-trivial commutation relation satisfied by these relations.
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Analytic continuations of Fourier and Stieltjes transforms and generalized moments of probability measures
TL;DR: In this article, the convergence of probability measures to Cauchy distributions with respect to tensor, free, Boolean and monotone convolutions is studied, and the authors define complex moments for some class of probabilities which do not have moments in the usual sense.
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White noise analysis on manifolds and the energy representation of a gauge group
TL;DR: In this article, the authors extend the white-noise analysis to non-compact Riemannian manifolds with differential operators satisfying some conditions, and show the irreducibility of the energy representation of a gauge group.
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Limit theorems in bi-free probability theory
TL;DR: In this paper, additive bi-free convolution is defined for general Borel probability measures, and the limiting distributions for sums of bi free pairs of selfadjoint commuting random variables in an infinitesimal triangular array are determined.