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math.RT2016★ 1 cited
Some properties of associated spaces with sub-Hankel determinants
Hideyuki Ishi, Takeyoshi Kogiso
In this note, we show that the space associated with sub-Hankel determinant is a non-reductive, regular prehomogeneous vector space, and we give the multiplicative Legendre transfo…
math.PR2016
Characterization of the Riesz Exponential Family on homogeneous cones
Hideyuki Ishi, Bartosz Kołodziejek
In the paper we present a characterization theorem of the Riesz measure and a Wishart exponential family on homogeneous cones through the invariance property of a natural exponenti…