Spectral Synthesis on Algebras of Orthogonal Polynomial Series.
Spectres joints et prolongement des caractères
Spectrum of commutative Banach algebras and isomorphism of C*-algebras related to locally compact groups
Let A be a semisimple commutative regular tauberian Banach algebra with spectrum . In this paper, we study the norm spectra of elements of and present some applications. In particular, we characterize the discreteness of in terms of norm spectra. The algebra A is said to have property (S) if, for all , φ has a nonempty norm spectrum. For a locally compact group G, let denote the C*-algebra generated by left translation operators on and denote the discrete group G. We prove that the Fourier...
Spherical analysis on harmonic groups
Spherical distributions on harmonic extensions of pseudo--type groups.
Spherical Functions and a q-Analogue of Kostant's Weight Multiplicity Formula.
Spherical functions and spectral synthesis
Spherical functions and uniformly bounded representations of free groups
We give a construction of an analytic series of uniformly bounded representations of a free group G, through the action of G on its Poisson boundary. These representations are irreducible and give as their coefficients all the spherical functions on G which tend to zero at infinity. The principal and the complementary series of unitary representations are included. We also prove that this construction and the other known constructions lead to equivalent representations.
Spherical functions are Fourier transforms of -functions
Spherical functions on a family of quantum 3-spheres
Spherical Functions on a Simply Connected Semisimple Lie Group. II. The Paley-Wiener Theorem for the Rank one Case.
Spherical functions on finite split extensions
Spherical functions on ordered symmetric spaces
We define on an ordered semi simple symmetric space a family of spherical functions by an integral formula similar to the Harish-Chandra integral formula for spherical functions on a Riemannian symmetric space of non compact type. Associated with these spherical functions we define a spherical Laplace transform. This transform carries the composition product of invariant causal kernels onto the ordinary product. We invert this transform when is a complex group, a real form of , and when ...
Spherical Means and the Restriction Phenomenon.
Spherical means on the Heisenberg group and a restriction theorem for the symplectic Fourier transform.
The aim of this paper is to study mean value operators on the reduced Heisenberg group Hn/Γ, where Hn is the Heisenberg group and Γ is the subgroup {(0,2πk): k ∈ Z} of Hn.
Spherical quadrature formulas with equally spaced nodes on latitudinal circles.
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
Square-integrability of tensor products.