3 papers
math.CA2020
Dunkl intertwining operator for symmetric groups
Hendrik De Bie, Pan Lian
In this note, we express explicitly the Dunkl kernel and generalized Bessel functions of type by the Humbert's function , with one variable specified. The ob…
math.CA2020
The Dunkl kernel and intertwining operator for dihedral groups
Hendrik De Bie, Pan Lian
Dunkl operators associated with finite reflection groups generate a commutative algebra of differential-difference operators. There exists a unique linear operator called intertwin…
math.FA2018
Weighted composition operator on quaternionic Fock space
Pan Lian, Yu-Xia Liang
In this paper, we study the weighted composition operator on the Fock space $\mf$ of slice regular functions. First, we characterize the boundedness and compactness of the weighted…