15 citations · 62 across the 17 of their papers we have counts for
17 papers
Scattering and a Plancherel formula for real reductive spherical spaces
Patrick Delorme
We establish the analog for real homogeneous spherical varieties of the Scattering Theorem of Sakellaridis and Venkatesh (Periods and harmonic analysis on spherical varieties, Aste…
Scattering and a Plancherel formula of spherical varieties for real reductive split groups
Patrick Delorme
We establish the analog for real spherical varieties of the Scattering Theorem of Sakellaridis and Venkatesh (\cite{SV}, Theorem 7.3.1) for p-adic spherical varieties. We use prope…
On the spectral Theorem of Langlands
Patrick Delorme
We show that the Hilbert subspace of $L^2(G(F)\backslash G(\A))$ generated by wave packets of Eisenstein series built from discrete series is the whole space. Together with the wor…
Plancherel theory for real spherical spaces: Construction of the Bernstein morphisms
Patrick Delorme, Friedrich Knop, Bernhard Krötz +1
Given a unimodular real spherical space we construct for each boundary degeneration of a Bernstein morphism . We show t…
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…
The constant term of tempered functions on a real spherical space
Raphaël Beuzart-Plessis, Patrick Delorme, Bernhard Krötz +1
Let be a unimodular real spherical space. We develop a theory of constant terms for tempered functions on which parallels the work of Harish-Chandra. The constant terms $f_…