-orbit functions.
Efficient Computation of Fourier Transforms on Compact Groups.
Eigenfunction expansions of functions describing systems with symmetries.
Electrostatics and ghost poles in near best fixed pole rational interpolation.
Elliptic biorthogonal polynomials connected with Hermite's continued fraction.
Entropy and approximation numbers of embeddings of function spaces with Muckenhoupt weights, I.
Entropy of Hermite polynomials with application to the harmonic oscillator.
Equiconvergence for Laguerre function series
We prove an equiconvergence theorem for Laguerre expansions with partial sums related to partial sums of the (non-modified) Hankel transform. Combined with an equiconvergence theorem recently proved by Colzani, Crespi, Travaglini and Vignati this gives, via the Carleson-Hunt theorem, a.e. convergence results for partial sums of Laguerre function expansions.
Equisummability Theorems for Laguerre Series
Here we prove results about Riesz summability of classical Laguerre series, locally uniformly or on the Lebesgue set of the function f such that (∫(1 + x)^(mp) |f(x)|^p dx )^(1/p) < ∞, for some p and m satisfying 1 ≤ p ≤ ∞, −∞ < m < ∞.
Equivalence of Haar and Franklin bases in spaces
Erdös-Turán Type Discrepancy Bounds.
Error bounds of some Gauss-turan-kronrod quadratures with Gori-micchelli weights for analytic functions
Estimates, Decay Properties, Computation of the Dual Function for Gabor Frames.
Estimates for polynomials orthogonal with respect to some Gegenbauer-Sobolev type inner product.
Estimates for spline orthonormal functions and for their derivatives
Estimates of Fourier coefficients.
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...
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 solutions of the semi-infinite Toda lattice with applications to the inverse spectral problem.