Schwartz spaces associated with some non-differential convolution operators on homogeneous groups
S'-convolvability with the Poisson kernel in the Euclidean case and the product domain case
We obtain real-variable and complex-variable formulas for the integral of an integrable distribution in the n-dimensional case. These formulas involve specific versions of the Cauchy kernel and the Poisson kernel, namely, the Euclidean version and the product domain version. We interpret the real-variable formulas as integrals of S’-convolutions. We characterize those tempered distribution that are S’-convolvable with the Poisson kernel in the Euclidean case and the product domain case. As an application...
Sequence space representations for zero-solutions of convolution equations on ultradifferentiable functions of Roumieu type
Silva tempered ultradistributions
Sobolev multipliers
Sobre Ciertos Espacios De Funciones Holo Morfas Y Sus Aplicaciones, II.
Some contributions to the study of the Space of distributions D'(V), with V closed.
Some locally convex spaces of regular distributions
Some remarks on convolution equations
Using a description of the topology of the spaces ( open convex subset of ) via the Fourier transform, namely their analytically uniform structures, we arrive at a formula describing the convex hull of the singular support of a distribution , . We give applications to a class of distributions satisfyingfor all .
Some Results on Barreledness in Projective Tensor Products.
Space Of Distributions Induced By Certain Families Of Linear Operators
Spaces of type and a convolution product associated with the spherical mean operator.
Spaces of sequences, sampling theorem, and functions of exponential type
We introduce certain spaces of sequences which can be used to characterize spaces of functions of exponential type. We present a generalized version of the sampling theorem and a "nonorthogonal wavelet decomposition" for the elements of these spaces of sequences. In particular, we obtain a discrete version of the so-called φ-transform studied in [6] [8]. We also show how these new spaces and the corresponding decompositions can be used to study multiplier operators on Besov spaces.
Spaces of Test Functions and Theorems of the Bochner-Schoenberg-Eberlein Type.
Spectral trajectories,duality and inductive-projective limits of Hilbert spaces
Spezielle Sobolev-Räume von Beurling-Distributionen.
Stieltjes transforms on new generalized functions.
Stratified Whitney jets and tempered ultradistributions on the subanalytic site
In this paper we introduce the sheaf of stratified Whitney jets of Gevrey order on the subanalytic site relative to a real analytic manifold . Then, we define stratified ultradistributions of Beurling and Roumieu type on . In the end, by means of stratified ultradistributions, we define tempered-stratified ultradistributions and we prove two results. First, if is a real surface, the tempered-stratified ultradistributions define a sheaf on the subanalytic site relative to . Second, the tempered-stratified...
Structure theorem for functionals in the space .
Sur certains espaces de fonctions dans les groupes localement compacts