1 citations · 3 across the 8 of their papers we have counts for
8 papers
Local zeta functions for a class of p-adic symmetric spaces (II)
Pascale Harinck, Hubert Rubenthaler
In this paper we study the zeta functions associated to the minimal spherical principal series of representations for a class of reductive p-adic symmetric spaces, which are realiz…
Local Zeta Functions for a class of p-adic symmetric spaces
Pascale Harinck, Hubert Rubenthaler
This is an extended version of the first part of a forthcoming paper where we will study the local Zeta functions of the minimal spherical series for the symmetric spaces arising a…
Relative trace formula for compact quotient and pseudocoefficients for relative discrete series
Patrick Delorme, Pascale Harinck
We introduce the notion of relative pseudocoefficient for relative discrete series of real spherical homogeneous spaces of reductive groups. We prove that such relative pseudocoeff…
Spherical character of a supercuspidal representation as weighted orbital integral
P. Delorme, P. Harinck
Let be an unramified quadratic extension of local non archimedean fields of characteristic 0. Let be an algebraic reductive group, defined and split o…
A local relative trace formula for PGL(2)
Patrick Delorme, Pascale Harinck
Following a scheme inspired by B. Feigon, we describe the spectral side of a local relative trace formula for relative to the symmetric subgroup $H:=PGL(2,\rm F)…
Geometric side of a local relative trace formula
Patrick Delorme, Pascale Harinck, Sofiane Souaifi
Following a scheme suggested by B. Feigon, we investigate a local relative trace formula in the situation of a reductive -adic group relative to a symmetric subgroup $H= \u…
Paley-Wiener theorems for a p-adic spherical variety
Patrick Delorme, Pascale Harinck, Yiannis Sakellaridis
Let S(X) be the Schwartz space of compactly supported smooth functions on the p-adic points of a spherical variety X, and let C(X) be the space of Harish-Chandra Schwartz functions…
Regularity of some invariant distributions on nice symmetric pairs
Pascale Harinck
J.~Sekiguchi determined the semisimple symmetric pairs (g,h), called nice symmetric pairs, on which there is no non-zero invariant eigendistribution with singular support. On such…