L'orthogonalité et les récurrences de polynômes d'ordre supérieur à deux
Lp extremal polynomials. Results and perspectives
2000 Mathematics Subject Classification: 30C40, 30D50, 30E10, 30E15, 42C05.Let α = β+γ be a positive finite measure defined on the Borel sets of C, with compact support, where β is a measure concentrated on a closed Jordan curve or on an arc (a circle or a segment) and γ is a discrete measure concentrated on an infinite number of points. In this survey paper, we present a synthesis on the asymptotic behaviour of orthogonal polynomials or Lp extremal polynomials associated to the measure α. We analyze...
Lₚ-deviations from zero of polynomials with integral coefficients
Mapping properties of fundamental operators in harmonic analysis related to Bessel operators
We obtain sharp power-weighted , weak type and restricted weak type inequalities for the heat and Poisson integral maximal operators, Riesz transform and a Littlewood-Paley type square function, emerging naturally in the harmonic analysis related to Bessel operators.
Marcos de traslaciones.
Markov operators on the solvable Baumslag-Solitar groups.
Matrix computation and the theory of moments.
Matrix refinement equations: Continuity and smoothness
In this paper we give some criteria for the existence of compactly supported -solutions ( is an integer and ) of matrix refinement equations. Several examples are presented to illustrate the general theory.
Matrix Refinement Equations: Existence and Uniqueness.
Maximal operators of two-dimensional Walsh-Fourier series.
Maximal operators of Fejér means of double Vilenkin-Fourier series
The main aim of this paper is to prove that the maximal operator of the Fejér means of the double Vilenkin-Fourier series is not bounded from the Hardy space to the space weak-.
Maximal operators of Fejér means of Vilenkin-Fourier series.
Maximal operators of the Fejér means of the two dimensional character system of the -series field in the Kaczmarz rearrangement.
Mean growth and Fourier coefficients of some classes of holomorphic functions on bounded symmetric domains
Mean Oscillation of Functions and the Paley-Wiener Space.
Measures and lacunary sets
We establish new connections between some classes of lacunary sets. The main tool is the use of (p,q)-summing or weakly compact operators (for Riesz sets). This point of view provides new properties of stationary sets and allows us to generalize to more general abelian groups than the torus some properties of p-Sidon sets. We also construct some new classes of Riesz sets.
Meixner-type results for Riordan arrays and associated integer sequences.
Mesures spectrales de Walsh associées à certaines suites arithmétiques
On associe à certaines suites de nombres complexes une mesure borélienne positive sur le tore dont la transformée de Fourier-Walsh est une suite de moyennes liées à . La nature de (discrète, continue) est discutée dans quelques cas : suites presque-périodiques et certaines suites arithmétiques.
Modified dyadic derivatives and integrals of fractional order on .
Modulus of smoothness and theorems concerning approximation on compact groups.