Generalized coefficients of spherical principal series for split symmetric spaces. (Coefficients généralisés de séries principales sphériques relatifs aux espaces symétriques déployés.)
Generalized Gelfand pairs associated with the Heisenberg group. (Paires de Guelfand généralisées associées au groupe d'Heisenberg.)
Geodesically complete Lorentzian metrics on some homogeneous 3 manifolds.
Growth and smooth spectral synthesis in the Fourier algebras of Lie groups
Let G be a Lie group and A(G) the Fourier algebra of G. We describe sufficient conditions for complex-valued functions to operate on elements u ∈ A(G) of certain differentiability classes in terms of the dimension of the group G. Furthermore, generalizing a result of Kirsch and Müller [Ark. Mat. 18 (1980), 145-155] we prove that closed subsets E of a smooth m-dimensional submanifold of a Lie group G having a certain cone property are sets of smooth spectral synthesis. For such sets we give an estimate...