Representation of functions as the Post-Widder inversion operator of generalized functions.
Representation Theorems for Tempered Ultradistributions
Résolution d'équations aux dérivées partielles dans des espaces de distributions d'ordre de régularité variable
L’objet de cet article est de prouver des théorèmes du genre suivant : “Soient un opérateur différentiel sur , une fonction à valeurs réelles, un nombre réel et une distribution à support compact : alors, si , ” ; l’espace est ici l’espace de Sobolev “d’ordre variable” associé à ; bien entendu, il faut des hypothèses sur , et . Les cas traités sont :1) certains opérateurs à coefficients variables déjà considérés dans le chapitre VIII du livre de L. Hörmander ;2) tous les opérateurs...
Riesz distributions.
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.