The infinite divisibility and orthogonal polynomials with a constant recursion formula in free probability theory

• Autorzy: Saitoh N. , Yoshida H.
• Języki publikacji: EN

Abstrakty

EN

We calculate Voiculescu’s R-transform of the compactly supported probability measure on Rinduced from the orthogonal polynomials with a constant recursion formula, and investigate its infinite divisibility with respect to the additive free convolution. In the case of infinite divisibility, we give the Lévy-Hinčin measure explicitly for the integral representation of the R-transform of the free analogue of the Lévy-Hinčin formula.

Słowa kluczowe

EN

orthogonal polynomials; probability theory; Voiculescu’s R-transform

• Wydawca: Wrocław University of Science and Technology
• Czasopismo: Probability and Mathematical Statistics
• Rocznik: 2001
• Tom: Vol. 21, Fasc. 1
• Strony: 159--170
• Opis fizyczny: Biblogr. 17 poz.

Twórcy

autor

Saitoh N.

• Department of Information Sciences. Faculty of Science Ochanomizu University 2-1-1, Otsuka, Bunkyou, Tokyo 112, Japan

autor

Yoshida H.

• Department of Information Sciences. Faculty of Science Ochanomizu University 2-1-1, Otsuka, Bunkyou, Tokyo 112, Japan

Bibliografia

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