Factorization in the algebra of rapidly decreasing functions on
Folgenretraktive Sequenzen lokalkonvexer Räume.
Fonctions à hessien borné
Cet article établit quelques propriétés des distributions sur un ouvert de dont le hessien est une mesure bornée. Après quelques propriétés topologiques – Compacité faible des bornées de lorsque est borné, densité des fonctions régulières pour une topologie assez finie – on s’intéresse au comportement sur le bord de lorsque est assez régulier; pour ce faire, on est amené à étudier celui des fonctions de . On montre enfin dans une 3ème partie des théorèmes d’injection de Sobolev et notamment...
Formally real rings of distributions
Fourier transforms of convolution operators
From Banach to distributions and currents
(F)-Spaces and Strict (LF)-Spaces.
Functions which are Fourier transforms of distributions
Funktionentheoretische Charakterisierung der Topologie in Distributionenräumen.
GB*-Algebras associated with inductive limits of Hilbert spaces
Generalized Bochner-Schwartz theorem for tempered ultradistributions.
Generalized Fourier expansions for distributions and ultradistributions.
Generalized Fractional Calculus With Application in Mechanics
Generalized Gevrey ultradistributions.
Generalized Hermitean ultradistributions
In this paper we define, by duality methods, a space of ultradistributions . This space contains all tempered distributions and is closed under derivatives, complex translations and Fourier transform. Moreover, it contains some multipole series and all entire functions of order less than two. The method used to construct led us to a detailed study, presented at the beginning of the paper, of the duals of infinite dimensional locally convex spaces that are inductive limits of finite dimensional...
Generalized random processes on the Zemanian space .
Generalized Random Processes on the Zemanian Space a
Generalized solutions of ordinary linear differential equations in the Colombeau algebra
In this paper first order systems of linear of ODEs are considered. It is shown that these systems admit unique solutions in the Colombeau algebra .
Global And Local Saturated Theorems In Some Spaces Of Temperate Functions
Global and local saturation theorems in some spaces of temperate functions.