Nonarchimedean Harmonie Analysis and Analytic Functions.
Non-archimedean invariant means
Non-archimedean representations of compact groups
Non-archimedean (uniformly) continuous measures on homogeneous spaces
Non-closed thin sets in harmonic analysis
Noncoercive differential operators on homogeneous manifolds of negative curvature and their Green functions
We obtain upper and lower estimates for the Green function for a second order noncoercive differential operator on a homogeneous manifold of negative curvature.
Noncolliding Brownian motions and Harish-Chandra formula.
Noncommutative extensions of the Fourier transform and its logarithm
We introduce noncommutative extensions of the Fourier transform of probability measures and its logarithm to the algebra (S) of complex-valued functions on the free semigroup S = FS(z,w) on two generators. First, to given probability measures μ, ν with all moments finite, we associate states μ̂, ν̂ on the unital free *-bialgebra (ℬ,ε,Δ) on two self-adjoint generators X,X’ and a projection P. Then we introduce and study cumulants which are additive under the convolution μ̂* ν̂ = μ̂ ⊗ ν̂ ∘ Δ when...
Non-commutative moment problems.
Nonfactorization in group algebras
Nonlinear Approximation Theory on Compact Groups.
Nonlinear potential theory for Sobolev spaces on Carnot groups.
Nonlinear Schrödinger equation on real hyperbolic spaces
Nonlinear subelliptic Schrödinger equations with external magnetic field.
Nonlocal Poincaré inequalities on Lie groups with polynomial volume growth and Riemannian manifolds
Let G be a real connected Lie group with polynomial volume growth endowed with its Haar measuredx. Given a C² positive bounded integrable function M on G, we give a sufficient condition for an L² Poincaré inequality with respect to the measure M(x)dx to hold on G. We then establish a nonlocal Poincaré inequality on G with respect to M(x)dx. We also give analogous Poincaré inequalities on Riemannian manifolds and deal with the case of Hardy inequalities.
Non-Sidon sets in the support of a Fourier-Stieltjes transform
Nonsymmetric group algebras
Norm- and weak-continuity of translations of measures: A counterexample.
Normed domains of holomorphy.
Normes de Sobolev et convoluteurs bornés sur
Un groupe localement compact muni d’une fonction-longueur a la propriété par rapport à si toute fonction à décroissance rapide sur définit un convoluteur borné sur . Nous donnons une condition suffisante assez générale pour que le couple ait la propriété . Pour un tel couple, nous caractérisons les fonctions de type positif sur faiblement associées à la représentation régulière gauche et, dans le cas discret, nous considérons les propriétés d’approximation de l’algèbre de Fourier...