Fourier transforms of convolution operators
La convolution dans faible de
On a theorem of Kłosowska about generalised convolutions
On the Approximation by Convolution Operators in Homogeneous Banach Spaces of Periodic Functions
AMS Subject Classification 2010: 41A25, 41A27, 41A35, 41A36, 41A40, 42Al6, 42A85.The paper is concerned with establishing direct estimates for convolution operators on homogeneous Banach spaces of periodic functions by means of appropriately defined Kfunctional. The differential operator in the K-functional is defined by means of strong limit and described explicitly in terms of its Fourier coefficients. The description is simple and independent of the homogeneous Banach space. Saturation of such...
On the almost periodic behaviour of certain arithmetical convolutions
On the convolution of a probability measure.
On the relation between Gaussian measures and convolution semigroups of local type.
Positivity Zones and Norms of N-fold Convolutions - I
Restitution des coefficients d'ondelettes des signaux filtrés
Sets of -expansions and the Hausdorff measure of slices through fractals
We study natural measures on sets of -expansions and on slices through self similar sets. In the setting of -expansions, these allow us to better understand the measure of maximal entropy for the random -transformation and to reinterpret a result of Lindenstrauss, Peres and Schlag in terms of equidistribution. Each of these applications is relevant to the study of Bernoulli convolutions. In the fractal setting this allows us to understand how to disintegrate Hausdorff measure by slicing, leading...
Solutions indéfiniment dérivables et solutions presque-périodiques d'une équation de convolution
Solutions to Deconvolution Equations Using Nonperiodic Sampling.
Solving singular convolution equations using the inverse fast Fourier transform
The inverse Fast Fourier Transform is a common procedure to solve a convolution equation provided the transfer function has no zeros on the unit circle. In our paper we generalize this method to the case of a singular convolution equation and prove that if the transfer function is a trigonometric polynomial with simple zeros on the unit circle, then this method can be extended.
Some negative results concerning the process of Fejér type trigonometric convolution.
Some singular measures on the circle which improve spaces
Spaces of Test Functions and Theorems of the Bochner-Schoenberg-Eberlein Type.
Spectral analysis for rank one perturbations of diagonal operators in non-archimedean Hilbert space
The paper is concerned with the spectral analysis for the class of linear operators in non-archimedean Hilbert space, where is a diagonal operator and is a rank one operator. The results of this paper turn out to be a generalization of those results obtained by Diarra.
Standard ideals in convolution Sobolev algebras on the half-line
We study the relation between standard ideals of the convolution Sobolev algebra and the convolution Beurling algebra L¹((1+t)ⁿ) on the half-line (0,∞). In particular it is proved that all closed ideals in with compact and countable hull are standard.
Sur l’équation pour un noyau de convolution
Sur les noyaux de Frostman-Kunugui et les noyaux de Dirichlet
Considérons un noyau de convolution sur () sphériquement symétrique et vérifiant en dehors de 0, qui s’appelle un noyau de Frostman-Kunugui. Le but de cet article est de donner les conditions suffisantes pour le principe du balayage de .Supposons que est de classe en dehors de 0 et s’annule à l’infini. Si vérifie la conditions suivante (*), alors , où est un noyau de Dirichlet et où est une constante .(*) en dehors de 0 ou bien en dehors de 0 et, pour quelconque, décroît...