An Addition Theorem for Some q-Hahn Polynomials.
An application of shift operators to ordered symmetric spaces
We study the action of elementary shift operators on spherical functions on ordered symmetric spaces of Cayley type, where denotes the multiplicity of the short roots and the rank of the symmetric space. For even we apply this to prove a Paley-Wiener theorem for the spherical Laplace transform defined on by a reduction to the rank 1 case. Finally we generalize our notions and results to type root systems.
An endpoint estimate for the Kunze-Stein phenomenon and related maximal operators.
An explicit construction of the K-finite vectors in the discrete series for an isotropic semisimple symmetric space
Analyse harmonique des groupes d'automorphismes d'arbres de Bruhat-Tits
Analysis in matrix space and Speh's representations.
Analysis of two step nilsequences
Nilsequences arose in the study of the multiple ergodic averages associated to Furstenberg’s proof of Szemerédi’s Theorem and have since played a role in problems in additive combinatorics. Nilsequences are a generalization of almost periodic sequences and we study which portions of the classical theory for almost periodic sequences can be generalized for two step nilsequences. We state and prove basic properties for two step nilsequences and give a classification scheme for them.
Analytic continuation for Flensted-Jensen Representations.
Application des théorèmes de Minlos et Poincaré à l’étude asymptotique d’une intégrale orbitale
On va étudier le comportement asymptotique d’une intégrale de type intégrale de Itzykson-Zuber et on va donner une formule pour sa limite. On va obtenir ce résultat en utilisant un théorème de Poincaré et un théorème de Minlos.
Approach regions for the square root of the Poisson kernel and boundary functions in certain Orlicz spaces
If the Poisson integral of the unit disc is replaced by its square root, it is known that normalized Poisson integrals of and weak boundary functions converge along approach regions wider than the ordinary nontangential cones, as proved by Rönning and the author, respectively. In this paper we characterize the approach regions for boundary functions in two general classes of Orlicz spaces. The first of these classes contains spaces having the property , . The second contains spaces that...
Approximation on the sphere by weighted Fourier expansions.
Asymptotic behaviour of generalized Poisson integrals in rank one symmetric spaces and in trees
Au-delà de l'analyse de la variance ?
Basic relative invariants associated to homogeneous cones and applications.
Berezin transform on line bundles over bounded symmetric domains.
Berezin transforms and group representations.
Berezin--Toeplitz quantization on the Schwartz space of bounded symmetric domains.
Besov spaces on symmetric manifolds—the atomic decomposition
We give the atomic decomposition of the inhomogeneous Besov spaces defined on symmetric Riemannian spaces of noncompact type. As an application we get a theorem of Bernstein type for the Helgason-Fourier transform.
BGG sequences on spheres
BGG sequences on flat homogeneous spaces are analyzed from the point of view of decomposition of appropriate representation spaces on irreducible parts with respect to a maximal compact subgroup, the so called -types. In particular, the kernels and images of all standard invariant differential operators (including the higher spin analogs of the basic twistor operator), i.e. operators appearing in BGG sequences, are described.
Bochner and Schoenberg theorems on symmetric spaces in the complex case