Plancherel theory for real spherical spaces: Construction of the Bernstein morphisms

Patrick Delorme, Friedrich Knop, Bernhard Krötz +1

Given a unimodular real spherical space $Z=G/H$ we construct for each boundary degeneration $Z_I=G/H_I$ of $Z$ a Bernstein morphism $B_I:L^2(Z_I{)}_{\mathrm{disc}}\to L^2(Z)$. We show t…