A weighted Plancherel formula. III. The case of the hyperbolic matrix ball.
A Wiener type theorem for (U(p,q),Hₙ)
It is well known that (U(p,q),Hₙ) is a generalized Gelfand pair. Applying the associated spectral analysis, we prove a theorem of Wiener Tauberian type for the reduced Heisenberg group, which generalizes a known result for the case p = n, q = 0.
Abelian Theorems for Distributional H-Transform.
About Riesz transforms on the Heisenberg groups.
Abschätzung von Normen gewisser Matrizen und eine Anwendung.
Absolut stetige Maße auf lokalkompakten Halbgruppen.
Absolute Continuity, Singularity, and Supports of Gauss Semigroups on a Lie Group.
Absolute convergence of Fourier series on finite-dimensional groups
Absolut-Stetigkeit und Träger von Gauß-Verteilungen auf lokalkompakten Gruppen.
Action of topological semigroups, invariant means, and fixed points
Addendum to: Crofton formulae and geodesic distance in hyperbolic spaces.
Addendum to “On Hilbert sets and -spaces with no subspace isomorphic to ”
Addendum to the paper "Weak-strong convolution operators on certain disconnected groups"
Addition to the paper “Translation invariant subspaces of ” Studia Mathematica 48 (1973), pp. 245-250
Additive functions and singular measures
Adèles et séries trigonométriques spéciales
Admissible transformations of measures.
A.e. convergence of anisotropic partial Fourier integrals on Euclidean spaces and Heisenberg groups
We define partial spectral integrals on the Heisenberg group by means of localizations to isotropic or anisotropic dilates of suitable star-shaped subsets V containing the joint spectrum of the partial sub-Laplacians and the central derivative. Under the assumption that an L²-function f lies in the logarithmic Sobolev space given by , where is a suitable “generalized” sub-Laplacian associated to the dilation structure, we show that converges a.e. to f(x) as R → ∞.
A.e. convergence of spectral sums on Lie groups
Let be a right-invariant sub-Laplacian on a connected Lie group and let denote the associated “spherical partial sums,” where is the spectral resolution of We prove that converges a.e. to as under the assumption
Affine Dunkl processes of type
We introduce the analogue of Dunkl processes in the case of an affine root system of type . The construction of the affine Dunkl process is achieved by a skew-product decomposition by means of its radial part and a jump process on the affine Weyl group, where the radial part of the affine Dunkl process is given by a Gaussian process on the ultraspherical hypergroup . We prove that the affine Dunkl process is a càdlàg Markov process as well as a local martingale, study its jumps, and give a martingale...