Estimation of the integral modulus of smoothness of an even function of several variables with quasiconvex Fourier coefficients.
Estimations pour les noyaux singuliers
Estimations d’intégrales oscillantes
Étude asymptotique des vibrations des sphères
Etude de la vitesse de convergence de l'algorithme en cascade dans la construction des ondelettes d'Ingrid Daubechies.
The aim of this paper is the study of the convergence of algorithms involved in the resolution of two scale equations. They are fixed point algorithms, often called cascade algorithms, which are used in the construction of wavelets. We study their speed of convergence in Lebesgue and Besov spaces, and show that the quality of the convergence depends on two independent factors. The first one, as we could foresee, is the regularity of the scaling function which is the solution of the equation. The...
Etude spectrale des substitutions de longueur constante
Evaluation of two trigonometric sums
Everywhere divergent Fourier series
Evidence of intermittency in the local field potentials recorded from patients with Parkinson's disease: a wavelet-based approach.
Exact controllability of shells in minimal time
We prove an exact controllability result for thin cups using the Fourier method and recent improvements of Ingham type theorems, given in a previous paper [2].
Exact Kronecker constants of Hadamard sets
A set S of integers is called ε-Kronecker if every function on S of modulus one can be approximated uniformly to within ε by a character. The least such ε is called the ε-Kronecker constant, κ(S). The angular Kronecker constant is the unique real number α(S) ∈ [0,1/2] such that κ(S) = |exp(2πiα(S)) - 1|. We show that for integers m > 1 and d ≥ 1, and α1,m,m²,... = 1/(2m).
Exact solutions of the semi-infinite Toda lattice with applications to the inverse spectral problem.
Exakte Größenordnung für das Randverhalten des Poissonschen Integrals von BMO-Funktionen und VMO-Funktionen
Examples of singular maximal functions unbounded on Lp.
Examples of Λ(4) sets E and a graph structure in E x E
Exceptional Sets and Wavelet Packets Orthonormal Bases.
Existence globale pour un fluide inhomogène
Dans cet article on s’intéresse à l’existence et l’unicité globale de solutions pour le système de Navier-Stokes à densité variable, lorsque la donnée initiale de la vitesse est dans l’espace de Besov homogène de régularité critique . Notons que ce résultat fait suite aux résultats de H. Abidi qui a généralisé le travail de R. Danchin. Toutefois, dans les travaux antérieurs, l’existence de la solution est obtenue pour et l’unicité est démontrée sous l’hypothèse plus restrictive Notre résultat...
Existence of almost automorphic solutions to some classes of nonautonomous higher-order differential equations.
Existence of big pieces of graphs for parabolic problems.
Existence of discrete ergodic singular transforms for admissible processes
This article is concerned with the study of the discrete version of generalized ergodic Calderón-Zygmund singular operators. It is shown that such discrete ergodic singular operators for a class of superadditive processes, namely, bounded symmetric admissible processes relative to measure preserving transformations, are weak (1,1). From this maximal inequality, a.e. existence of the discrete ergodic singular transform is obtained for such superadditive processes. This generalizes the well-known...