Distributional boundary values in . V
Distributional versions of Littlewood's Tauberian theorem
We provide several general versions of Littlewood's Tauberian theorem. These versions are applicable to Laplace transforms of Schwartz distributions. We employ two types of Tauberian hypotheses; the first kind involves distributional boundedness, while the second type imposes a one-sided assumption on the Cesàro behavior of the distribution. We apply these Tauberian results to deduce a number of Tauberian theorems for power series and Stieltjes integrals where Cesàro summability follows from Abel...
Dualraum und Topologie der (lokal) langsam wachsenden Nullösungen hypoelliptischer Differentialoperatoren.
Fourier transforms in generalized Fock spaces.
Front d'onde analytique et décomposition microlocale des distributions
On étudie en détail une décomposition microlocale analytique de la distribution suivant des distributions singulières en un seul point et dans une seule codirection. Cette décomposition est obtenue à partir d’opérateurs Fourier-Intégraux à phases complexes.On utilise ensuite cet outil pour démontrer le théorème de décomposition du front d’onde analytique des distributions. On établit également des théorèmes concernant la représentation globale des distributions comme sommes de valeurs au bord...
Generalized Taylor expansions of singular functions
spaces in tubes and distributional boundary values
Holomorphic extension of generalizations of functions. II.
Laplace ultradistributions on a half line and a strong quasi-analyticity principle
Several representations of the space of Laplace ultradistributions supported by a half line are given. A strong version of the quasi-analyticity principle of Phragmén-Lindelöf type is derived.
Microfunctions with values in a Clifford algebra 1
Moderate and formal cohomology associated with constructible sheaves
Monogenic functions on surfaces.
On formal trigonometrical series
On infinite derivatives of continuous functions
On the Fourier-Laplace representation of analytic functions in tube domains.
On the structure of the ultradistributions of Beurling type.
Poincaré theorem and nonlinear PDE's
A family of formal solutions of some type of nonlinear partial differential equations is found. Terms of such solutions are Laplace transforms of some Laplace distributions. The series of these distributions are locally finite.
Quasi-isometric vector bundles and bounded factorization of holomorphic matrices
We give a sufficient condition for a hermitian holomorphic vector bundle over the disk to be quasi-isometric to the trivial bundle. One consequence is a version of Cartan's lemma on the factorization of matrices with uniform bounds.
Randverteilungen holomorpher Funktionen und die Topologie von D'.
Regularization of distributions.