Differential operators and spectral distributions of invariant ensembles from the classical orthogonal polynomials: the discrete case.
Differential operators of gradient type associated with spherical harmonics
Differential transforms of Cesàro averages in weighted spaces .
Differentiation and the Balian-Low Theorem.
Differentiation in lacunary directions and an extension of the Marcinkiewicz multiplier theorem
We show that the maximal operator associated to the family of rectangles in one of whose sides is parallel to for some j,k is bounded on , . We give an application of this theorem to obtain an extension of the Marcinkiewicz multiplier theorem.
Differentiation of integrals [Abstract of thesis]
Differentiation of trigonometric series
Diffraction spectra of weighted Delone sets on beta-lattices with beta a quadratic unitary Pisot number
The Fourier transform of a weighted Dirac comb of beta-integers is characterized within the framework of the theory of Distributions, in particular its pure point part which corresponds to the Bragg part of the diffraction spectrum. The corresponding intensity function on this Bragg part is computed. We deduce the diffraction spectrum of weighted Delone sets on beta-lattices in the split case for the weight, when beta is the golden mean.
Digital Nets and Sequences Constructed over Finite Rings and Their Application to Quasi-Monte Carlo Integration.
Dimension and Entropy of a Non-ergodic Markovian Process and its Relation to Rademacher Riesz Products.
Dimension free estimates for the bilinear Riesz transform.
Dimension functions, scaling sequences, and wavelet sets
The paper is a continuation of our study of dimension functions of orthonormal wavelets on the real line with dyadic dilations. The main result of Section 2 is Theorem 2.8 which provides an explicit reconstruction of the underlying generalized multiresolution analysis for any MSF wavelet. In Section 3 we reobtain a result of Bownik, Rzeszotnik and Speegle which states that for each dimension function D there exists an MSF wavelet whose dimension function coincides with D. Our method provides a completely...
Diophantine conditions in global well-posedness for coupled KdV-type systems.
Dirac operators, conformal transformations and aspects of classical harmonic analysis.
Directional operators and mixed norms.
We present a survey of mixed norm inequalities for several directional operators, namely, directional Hardy-Littlewood maximal functions and Hilbert transforms (both appearing in the method of rotations of Calderón and Zygmund), X-ray transforms, and directional fractional operators related to Riesz type potentials with variable kernel. In dimensions higher than two several interesting questions remain unanswered.[Proceedings of the 6th International Conference on Harmonic Analysis and Partial Differential...
Discrepancy and integration in function spaces with dominating mixed smoothness [Book]
Discrete analogues of singular and maximal Radon transforms.
Discrete differential operators in multidimensional Haar wavelet spaces.
Discrete Hardy spaces
We study various characterizations of the Hardy spaces via the discrete Hilbert transform and via maximal and square functions. Finally, we present the equivalence with the classical atomic characterization of given by Coifman and Weiss in [CW]. Our proofs are based on some results concerning functions of exponential type.
Discrete Laguerre functions and equilibrium conditions.