Stability of trigonometric functional equations in generalized functions.
Stieltjes transforms on new generalized functions.
Stochastic Differential Equations Driven by Generalized Positive Noise
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...
Strong boundary values : independence of the defining function and spaces of test functions
The notion of “strong boundary values” was introduced by the authors in the local theory of hyperfunction boundary values (boundary values of functions with unrestricted growth, not necessarily solutions of a PDE). In this paper two points are clarified, at least in the global setting (compact boundaries): independence with respect to the defining function that defines the boundary, and the spaces of test functions to be used. The proofs rely crucially on simple results in spectral asymptotics.
Structural Theorems for Quasiasymptotics of Distributions at Infinity
Structural theorems for the -asymptotic and quasiasymptotic of distributions.
Structure theorem for functionals in the space .
Su certe equazioni convolutorie per distribuzioni
Su certe formule d'inversione della trasformata di Laplace per distribuzioni
Su di un teorema di Hartogs
Sufficient conditions of local solvability for partial differential operators on spaces of Colombeau type.
Sul teorema dei nuclei per le distribuzioni funtoriali
Sulle distribuzioni vettoriali di una variabile debolmente quasi periodiche
Sull'integrazione delle distribuzioni quasi periodiche di una variabile
Supporteurs des prodistributions et mesures cylindriques
Supports des fonctionnelles analytiques
Supports des profonctionnelles analytiques
Sur certains espaces de fonctions dans les groupes localement compacts
Sur des propriétés d'approximation des espaces de distributions. I.