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...
Existence of doubly-weighted pseudo almost periodic solutions to non-autonomous differential equations.
Existence of large ε-Kronecker and FZI₀(U) sets in discrete abelian groups
Let G be a compact abelian group with dual group Γ and let ε > 0. A set E ⊂ Γ is a “weak ε-Kronecker set” if for every φ:E → there exists x in the dual of Γ such that |φ(γ)- γ(x)| ≤ ε for all γ ∈ E. When ε < √2, every bounded function on E is known to be the restriction of a Fourier-Stieltjes transform of a discrete measure. (Such sets are called I₀.) We show that for every infinite set E there exists a weak 1-Kronecker subset F, of the same cardinality as E, provided there are not “too many”...
Existence of pseudo almost periodic solutions to some classes of partial hyperbolic evolution equations.
Expansions for Gaussian processes and Parseval frames.
Experimental approaches to Kuttner's problem.
Explicit bounds of complex exponential frames.
Exponential approximation on the real line
Exponential integrability of certain singular integral transforms
Exponential Riordan arrays and permutation enumeration.
Exponential Sums and Nonlinear Schrödinger Equations.
Exponential sums with coefficients or and concentrated norms
A sum of exponentials of the form , where the are distinct integers is called an idempotent trigonometric polynomial (because the convolution of with itself is ) or, simply, an idempotent. We show that for every and every set of the torus with there are idempotents concentrated on in the sense. More precisely, for each there is an explicitly calculated constant so that for each with and one can find an idempotent such that the ratio is greater than . This is in fact...
Exponentially decaying wavelets with uncertainty constants uniformly bounded with respect to the smoothness parameter.
Extension de fonctions de type positif et entropie associée. Cas multidimensionnel
Extension of a Theorem of Fejér to Double Fourier-Stieltjes Series.
Extension of analytic number theory and the theory of regularized harmonic series from Dirichlet series to Bessel series.