Remarks on orthogonal polynomials with respect to varying measures and related problems.
Remarks on singular convolution operators
Remarks on the Hilbert transform and on some families of multiplier operators related to it.
We give an overview of the behavior of the classical Hilbert Transform H seen as an operator on Lp(R) and on weak-Lp(R), then we consider other operators related to H. In particular, we discuss various versions of Discrete Hilbert Transform and Fourier multipliers periodized in frequency, giving some partial results and stating some conjectures about their sharp bounds Lp(R) → Lp(R), for 1 < p < ∞.
Remarks on the incompressible Navier-Stokes flows for linearly growing initial data
Remarks on the Preceding Paper by Gavin Brown and Edwin Hewitt.
Remarks on Weil’s quadratic functional in the theory of prime numbers, I
This Memoir studies Weil’s well-known Explicit Formula in the theory of prime numbers and its associated quadratic functional, which is positive semidefinite if and only if the Riemann Hypothesis is true. We prove that this quadratic functional attains its minimum in the unit ball of the -space of functions with support in a given interval , and prove again Yoshida’s theorem that it is positive definite if is sufficiently small. The Fourier transform of the functional gives rise to a quadratic...
Remarques sur certains sous-espaces de et de
On décrit de diverses façons les fermetures respectives, dans l’espace et dans sa version locale , de l’ensemble des fonctions à support compact et de l’ensemble des fonctions à support compact. Certains de ces résultats sont nouveaux; d’autres, considérés comme classiques, ne semblent pas avoir fait l’objet de publication. Des contre-exemples permettent de vérifier la diversité des sous-espaces considérés.
Remarques sur la formule sommatoire de Poisson
It is well known that the condition “f ∈ L¹ and f̂ ∈ L¹” is not sufficient to ensure the validity of the Poisson summation formula ∑f(k) = ∑f̂(k). We discuss here a stronger condition " and " and see for which values of a and b the condition is sufficient.
Remarques sur le problème de Cauchy pour l'équation des ondes
Remarques sur un théorème de J. Delsarte
On donne une démonstration nouvelle (et un peu plus générale) d’un théorème de J. Delsarte sur les fonctions moyenne-périodiques de deux variables.
Remotely -almost periodic type functions in
In this paper, we relate the notions of remote almost periodicity and quasi-asymptotical almost periodicity; in actual fact, we observe that a remotely almost periodic function is nothing else but a bounded, uniformly continuous quasi-asymptotically almost periodic function. We introduce and analyze several new classes of remotely -almost periodic functions in slowly oscillating functions in and further analyze the recently introduced class of quasi-asymptotically -almost periodic functions...
Removal of ocular artifacts in the EEG through wavelet transform without using an EOG reference channel.
Representability of V[h] as intersection of Λ-bounded variation classes
Representation of product systems on the interval .
Representations Of Monotonic Fourier Coefficients In Tauberian L1-Convergence Classes
Research Article. Multiscale Analysis of 1-rectifiable Measures II: Characterizations
A measure is 1-rectifiable if there is a countable union of finite length curves whose complement has zero measure. We characterize 1-rectifiable Radon measures μ in n-dimensional Euclidean space for all n ≥ 2 in terms of positivity of the lower density and finiteness of a geometric square function, which loosely speaking, records in an L2 gauge the extent to which μ admits approximate tangent lines, or has rapidly growing density ratios, along its support. In contrast with the classical theorems...
Résolubilité sur un espace riemannien symétrique
Résolution des conjectures de Calderón et espaces de Hardy généralisés
Resolvent at low energy and Riesz transform for Schrödinger operators on asymptotically conic manifolds. II
Let be a complete noncompact manifold of dimension at least 3 and an asymptotically conic metric on , in the sense that compactifies to a manifold with boundary so that becomes a scattering metric on . We study the resolvent kernel and Riesz transform of the operator , where is the positive Laplacian associated to and is a real potential function smooth on and vanishing at the boundary.In our first paper we assumed that has neither zero modes nor a zero-resonance and showed...
Restitution des coefficients d'ondelettes des signaux filtrés