Continuous measures and analytic sets
Continuous measures on compact Lie groups
We study continuous measures on a compact semisimple Lie group using representation theory. In Section 2 we prove a Wiener type characterization of a continuous measure. Next we construct central measures on which are related to the well known Riesz products on locally compact abelian groups. Using these measures we show in Section 3 that if is a compact set of continuous measures on there exists a singular measure such that is absolutely continuous with respect to the Haar measure on...
Continuous Measures on Homogenous Spaces
In this paper we generalize Wiener’s characterization of continuous measures to compact homogenous manifolds. In particular, we give necessary and sufficient conditions on probability measures on compact semisimple Lie groups and nilmanifolds to be continuous. The methods use only simple properties of heat kernels.
Continuous rearrangements of the Haar system in for 0 < p < ∞
We prove three theorems on linear operators induced by rearrangement of a subsequence of a Haar system. We find a sufficient and necessary condition for to be continuous for 0 < p < ∞.
Continuous wavelet transform on semisimple Lie groups and inversion of the Abel transform and its dual.
In this work we define and study wavelets and continuous wavelet transform on semisimple Lie groups G of real rank l. We prove for this transform Plancherel and inversion formulas. Next using the Abel transform A on G and its dual A*, we give relations between the continuous wavelet transform on G and the classical continuous wavelet transform on Rl, and we deduce the formulas which give the inverse operators of the operators A and A*.
Contractions à spectre dénombrable et propriétés d'unicité des fermés dénombrables du cercle
On montre que si est une contraction à spectre dénombrable et telle que, pour tout
Contractive homomorphisms of measure algebras and Fourier algebras
We show that the dual version of our factorization [J. Funct. Anal. 261 (2011)] of contractive homomorphisms φ: L¹(F) → M(G) between group/measure algebras fails to hold in the dual, Fourier/Fourier-Stieltjes algebra, setting. We characterize the contractive w*-w* continuous homomorphisms between measure algebras and (reduced) Fourier-Stieltjes algebras. We consider the problem of describing all contractive homomorphisms φ: L¹(F) → L¹(G).
Contribution à l'analyse harmonique sphérique
Convergence of Cesàro means of functions with respect to unbounded Vilenkin systems.
Convergence of Poisson integrals on semidirect extensions of homogeneous groups
Convergence of Series of Translations.
Converse mean value theorems on trees and symmetric spaces.
Convexité pour les opérateurs différentiels invariants sur les groupes de Lie.
Convexity for invariant differential operators on semisimple symmetric spaces
Convolution de mesures portées par une surface convexe
Convolution des courants sur un groupe de Lie
Convolution of functions in Lorentz spaces
Convolution of singular measures
Convolution on the reduced dual of a locally compact group.
Convolution operators on Hardy spaces
We give sufficient conditions on the kernel K for the convolution operator Tf = K ∗ f to be bounded on Hardy spaces , where G is a homogeneous group.