Permanence properties of -exact groups.
Permutation models and topological groups
Perturbations compactes des représentations d'un groupe dans un espace de Hilbert
Perturbations compactes des représentations d'un groupe dans un espace de Hilbert. II
Soit une application d’un groupe dans le groupe des opérateurs unitaires sur un espace de Hilbert. Si est un opérateur compact pour tous , quelles sont les obstructions à l’existence d’un homomorphisme avec compact pour tout ? Nous étudions ici les cas où est une somme amalgamée de groupes finis et où est un produit semi-direct d’un groupe fini par .
Picard-Lefschetz theory and characters of a semisimple Lie group.
Picard-Lefschetz theory for the coadjoint quotient of a semisimple Lie algebra.
Pluriharmonic functions on symmetric tube domains with BMO boundary values
Let 𝓓 be a symmetric Siegel domain of tube type and S be a solvable Lie group acting simply transitively on 𝓓. Assume that L is a real S-invariant second order operator that satisfies Hörmander's condition and annihilates holomorphic functions. Let H be the Laplace-Beltrami operator for the product of upper half planes imbedded in 𝓓. We prove that if F is an L-Poisson integral of a BMO function and HF = 0 then F is pluriharmonic. Some other related results are also considered.
Poincaré inequalities and rigidity for actions on Banach spaces
The aim of this paper is to extend the framework of the spectral method for proving property (T) to the class of reflexive Banach spaces and present a condition implying that every affine isometric action of a given group on a reflexive Banach space has a fixed point. This last property is a strong version of Kazhdan’s property (T) and is equivalent to the fact that for every isometric representation of on . The condition is expressed in terms of -Poincaré constants and we provide examples...
Poincaré inequalities for the Heisenberg group target.
Poincaré series and Kloosterman sums for SL(3, Z)
Poincaré Series of Binary Polyhedral Groups and McKay's Correspondence.
Points de continuité à gauche d'une action de semi-groupe.
Points extrémaux dans certains cônes convexes
Points extrêmaux dans un monoide affine semitopologique.
Points very close to the smallest ideal of ßS.
Pointwise estimates for densities of stable semigroups of measures
Let be a symmetric α-stable semigroup of probability measures on a homogeneous group N, where 0 < α < 2. Assume that are absolutely continuous with respect to Haar measure and denote by the corresponding densities. We show that the estimate , x≠0, holds true with some integrable function Ω on the unit sphere Σ if and only if the density of the Lévy measure of the semigroup belongs locally to the Zygmund class LlogL(N╲e). The problem turns out to be related to the properties of the maximal...
Pointwise estimates for the Poisson kernel on NA groups by the Ancona method
Pointwise periodic groups
Poisson boundary of triangular matrices in a number field
The aim of this note is to describe the Poisson boundary of the group of invertible triangular matrices with coefficients in a number field. It generalizes to any dimension and to any number field a result of Brofferio concerning the Poisson boundary of random rational affinities.
Poisson Integrals and Boundary Components of Symmetric Spaces.