27 citations · 201 across the 34 of their papers we have counts for
5 papers · 1 filter
Invariant Berezin integration on homogeneous supermanifolds
Alexander Alldridge, Joachim Hilgert
Let G be a Lie supergroup and H a closed subsupergroup. We study the unimodularity of the homogeneous supermanifold G/H, i.e. the existence of G-invariant sections of its Berezinia…
Patterson--Sullivan distributions for rank one symmetric spaces of the noncompact type
Joachim Hilgert, Michael Schroeder
There is a remarkable relation between two kinds of phase space distributions associated to eigenfunctions of the Laplacian of a compact hyperbolic manifold: It was observed in \ci…
Orthogonal polynomials associated to a certain fourth order differential equation
Joachim Hilgert, Toshiyuki Kobayashi, Gen Mano +1
We introduce orthogonal polynomials as eigenfunctions of a certain self-adjoint fourth order differential operator depending on two parameters an…
Special functions associated to a certain fourth order differential equation
Joachim Hilgert, Toshiyuki Kobayashi, Gen Mano +1
We develop a theory of "special functions" associated to a certain fourth order differential operator on depending on two parameters . For int…
Asymptotic K-Support and Restrictions of Representations
Soenke Hansen, Joachim Hilgert, Sameh Keliny
In the late nineties T. Kobayashi wrote a series of papers in which he established a criterion for the discrete decomposablity of restrictions of unitary representations of reducti…