演講者：Prof. Nobuhiro Asai

單　位：日本愛知教育大學數學系

日　期：2011年3月23日　PM 15:30

地　點：國立高雄大學理學院408室

講　題：On non-Gaussian Bargmann measures

摘　要：

In this talk, we shall present non-Gaussian Bargmann measures which can be expressed by the Mellin convolution product of the modified Bessel functions. Our measures on C are related with the Jacobi-Szegö parameters for the continuous dual Hahn polynomials S_n (x² , a, b, c) n under the special choice of parameters a, b, c . One of interesting things is that the Mellin convolution of two modified Bessel functions can be expressed again in terms of the modified Bessel functions by choosing parameters a, b, c appropriately. This talk will be based on my preprint (2010) and the origin of our research in this direction goes back to the Bargmann-Fock representation of the classical non-Gaussian random variables in our previous papers of 2003 (with I. Kubo and H.-H Kuo), 2005 and 2009.