Spherical distributions on harmonic extensions of pseudo--type groups.
Spherical Stein manifolds and the Weyl involution
We consider an action of a connected compact Lie group on a Stein manifold by holomorphic transformations. We prove that the manifold is spherical if and only if there exists an antiholomorphic involution preserving each orbit. Moreover, for a spherical Stein manifold, we construct an antiholomorphic involution, which is equivariant with respect to the Weyl involution of the acting group, and show that this involution stabilizes each orbit. The construction uses some properties of spherical subgroups...
Square integrability of group representations on homogeneous spaces. II. Coherent and quasi-coherent states. The case of the Poincaré group
Square integrability of group representations on homogeneous spaces. I. Reproducing triples and frames
Strong Morita Equivalence of Certain Transformation Group C*-Algebras.
Suites définies négatives et espaces de Dirichlet sur la sphère
Sur la formule des traces de Selberg
Sur la racine carrée du noyau de Poisson dans les espaces symétriques et une conjecture de E. M. Stein
Sur la transformation de Radon de la sphère
Sur l'analyse harmonique dans certains espaces homogènes - I
Survey of spectra of Laplacians on finite symmetric spaces.
Symbol calculus on the affine group "ax + b"
The symbol calculus on the upper half plane is studied from the viewpoint of the Kirillov theory of orbits. The main result is the -estimates for Fuchs type pseudodifferential operators.