-orbit functions.
Elementary proofs and the sums differences problem.
In this paper, we rule out the possibility that a certain method of proof in the sums differences conjecture can settle the Kakeya Conjecture.
Estimates for the Bergman and Szegö projections in two symmetric domains of
Extension de fonctions de type positif et entropie associée. Cas multidimensionnel
Fonctions définies dans le plan et vérifiant certaines propriétés de moyenne
Soit un réel de . Nous étudions le système d’équations de convolution suivantNous démontrons que les exponentielles polynômes solutions de sont denses dans l’espace des solutions du système d’équations; l’idéal de engendré par les transformées de Fourier des deux mesures intervenant ici est “slowly decreasing” au sens de Berenstein-Taylor. Lorsque n’est pas un nombre de Liouville, nous montrons qu’il existe un ouvert relativement compact telle que toute solution distribution de régulière...
Fractional integrals on spaces of homogeneous type
Function spaces related to continuous negative definite functions: ψ-Bessel potential spaces [Book]
Generalizations of the Riemann-Lebesgue and Cantor-Lebesgue lemmas
Homeomorphisms preserving Ap.
Lipschitz Spaces on Compact Lie Groups.
Mixed K-Functionals: A Measure of Smoothness for Blending-type Approximation.
Multiblock problems for almost periodic matrix functions of several variables.
Necessary and sufficient conditions for the -convergence of double Fourier series
We extend the results of paper of F. Móricz (2010), where necessary conditions were given for the -convergence of double Fourier series. We also give necessary and sufficient conditions for the -convergence under appropriate assumptions.
Necessary conditions for the -convergence of single and double trigonometric series
We give necessary conditions in terms of the coefficients for the convergence of a double trigonometric series in the -metric, where . The results and their proofs have been motivated by the recent papers of A. S. Belov (2008) and F. Móricz (2010). Our basic tools in the proofs are the Hardy-Littlewood inequality for functions in and the Bernstein-Zygmund inequalities for the derivatives of trigonometric polynomials and their conjugates in the -metric, where .
Nonlinear Approximation by Trigonometric Sums.
Number of real roots of a random trigonometric polynomial.
On almost everywhere and mean convergence of Hermite and Laguerre expansions
On continuity properties of functions with conditions on the mean oscillation
In this paper we study distribution and continuity properties of functions satisfying a vanishing mean oscillation property with a lag mapping on a space of homogeneous type.
On random orthogonal polynomials.
On real zeros of random polynomials with hyperbolic elements.