TY - JOUR T1 - Representations of Double Coset Lie Hypergroups TT - JF - IJMSI JO - IJMSI VL - 11 IS - 2 UR - http://ijmsi.ir/article-1-517-en.html Y1 - 2016 SP - 87 EP - 96 KW - Hypergroup KW - Lie group KW - Lie hypergroup KW - Double coset Lie hypergroup KW - Representations KW - Smooth (analytic) vectors N2 - We study the double cosets of a Lie group by a compact Lie subgroup. We show that a Weil formula holds for double coset Lie hypergroups and show that certain representations of the Lie group lift to representations of the double coset Lie hypergroup. We characterize smooth (analytic) vectors of these lifted representations. M3 10.7508/ijmsi.2016.02.006 ER -