8 citations · 51 across the 27 of their papers we have counts for
27 papers
Exceptional theta correspondences via Plancherel formulas for rank one symmetric spaces
Jan Frahm, Quentin Labriet
We consider the minimal representation of (a finite cover of) the conformal group of a simple split Jordan algebra over or , whenever it exists. The confor…
On the degenerate principal series of induced from a Heisenberg parabolic subgroup
Jan Frahm, Robin van Haastrecht, Clemens Weiske +1
We study degenerate principal series representations of the split real group induced from a character of a maximal parabolic subgroup whose unipotent radical is a Heisen…
Branching laws for Stein's complementary series and Speh representations of
Jonathan Ditlevsen, Jan Frahm
We obtain the explicit direct integral decomposition of Stein's complementary series representations and Speh representations of when restricted…
Realization of unitary representations of the Lorentz group on de Sitter space
Jan Frahm, Karl-Hermann Neeb, Gestur Olafsson
This paper builds on our previous work in which we showed that, for all connected semisimple linear Lie groups acting on a non-compactly causal symmetric space , every…
The holomorphic discrete series contribution to the generalized Whittaker Plancherel formula II. Non-tube type groups
Jan Frahm, Gestur Ólafsson, Bent Ørsted
For every simple Hermitian Lie group , we consider a certain maximal parabolic subgroup whose unipotent radical is either abelian (if is of tube type) or two-step nilpot…
Symmetry breaking for over non-archimedean local fields
Corina Ciobotaru, Jan Frahm
For a quadratic extension of non-archimedean local fields we construct explicit holomorphic families of intertwining operators between principal series repr…
Heisenberg parabolically induced representations of Hermitian Lie groups, Part II: Next-to-minimal representations and branching rules
Jan Frahm, Clemens Weiske, Genkai Zhang
Every simple Hermitian Lie group has a unique family of spherical representations induced from a maximal parabolic subgroup whose unipotent radical is a Heisenberg group. For most…
Restricting holomorphic discrete series representations to a compact dual pair
Jan Frahm, Quentin Labriet
The goal of this article is to study the branching problem for a holomorphic discrete series representation of the conformal group of a simple Euclidean Jordan algebra restrict…
Nets of standard subspaces on non-compactly causal symmetric spaces
Jan Frahm, Karl-Hermann Neeb, Gestur Olafsson
Let G be a connected simple linear Lie group and H in G a symmetric subgroup such that the corresponding symmetric space G/H is non-compactly causal. We show that any irreducible u…
Resonances and residue operators for pseudo-Riemannian hyperbolic spaces
Jan Frahm, Polyxeni Spilioti
For any pseudo-Riemannian hyperbolic space over or , we show that the resolvent of the Lapl…
Heisenberg parabolically induced representations of Hermitian Lie groups, Part I: Unitarity and subrepresentations
Jan Frahm, Clemens Weiske, Genkai Zhang
For a Hermitian Lie group , we study the family of representations induced from a character of the maximal parabolic subgroup whose unipotent radical is a Heisenberg…
Generalized Laguerre functions and Whittaker vectors for holomorphic discrete series
Jan Frahm, Gestur Ólafsson, Bent Ørsted
We study degenerate Whittaker vectors in scalar type holomorphic discrete series representations of tube type Hermitian Lie groups and their analytic continuation. In four differen…
The holomorphic discrete series contribution to the generalized Whittaker Plancherel formula
Jan Frahm, Gestur Ólafsson, Bent Ørsted
For a Hermitian Lie group of tube type we find the contribution of the holomorphic discrete series to the Plancherel decomposition of the Whittaker space , where $N…
The twisted Ruelle zeta function on compact hyperbolic orbisurfaces and Reidemeister-Turaev torsion
Léo Bénard, Jan Frahm, Polyxeni Spilioti
Let be a compact hyperbolic surface with finite order singularities, its unit tangent bundle. We consider the Ruelle zeta function associated to a representation…
Twisted Ruelle zeta function at zero for compact hyperbolic surfaces
Jan Frahm, Polyxeni Spilioti
Let be a compact, hyperbolic surface of genus . In this paper, we prove that the twisted Selberg and Ruelle zeta functions, associated with an arbitrary, finite-dimens…
On the direct integral decomposition in branching laws for real reductive groups
Jan Frahm
The restriction of an irreducible unitary representation of a real reductive group to a reductive subgroup decomposes into a direct integral of irreducible unitary repr…
Conformally invariant differential operators on Heisenberg groups and minimal representations
Jan Frahm
For a simple real Lie group with Heisenberg parabolic subgroup , we study the corresponding degenerate principal series representations. For a certain induction parameter th…
An extension problem related to the fractional Branson-Gover operators
Jan Frahm, Bent Ørsted, Genkai Zhang
The Branson-Gover operators are conformally invariant differential operators of even degree acting on differential forms. They can be interpolated by a holomorphic family of confor…
Symmetry breaking operators for real reductive groups of rank one
Jan Frahm, Clemens Weiske
For a pair of real reductive groups we consider the space of intertwining operators between spherical principal series representations …
Holomorphic torsion and geometric zeta functions for certain Hermitian locally symmetric manifolds
Henri Moscovici, Robert J. Stanton, Jan Frahm
We give a dynamical description, in terms of a Weil-type zeta function, to the holomorphic torsion with coefficients for certain compact Hermitian locally symmetric manifolds, whos…
Symmetry breaking operators for line bundles over real projective spaces
Jan Frahm, Clemens Weiske
The space of smooth sections of an equivariant line bundle over the real projective space forms a natural representation of the group ${\rm GL}(n+1,\mathbb{R}…
A minimal representation of the orthosymplectic Lie supergroup
Sigiswald Barbier, Jan Frahm
We construct a minimal representation of the orthosymplectic Lie supergroup , generalising the Schrödinger model of the minimal representation of to the super…
Upper bounds for geodesic periods over rank one locally symmetric spaces
Jan Möllers, Feng Su
We prove upper bounds for geodesic periods of automorphic forms over general rank one locally symmetric spaces. Such periods are integrals of automorphic forms restricted to specia…
Rankin-Selberg periods for spherical principal series
Jan Frahm, Feng Su
By the unfolding method, Rankin-Selberg L-functions for can be expressed in terms of period integrals. These period integrals actually define invaria…