4 citations
4 papers
Some properties of (C,E,P)-algebras : Overgneration and 0-order estimates
Antoine Delcroix
We give a new definition of the so-called overgenerated rings, which are the usual tool used to define the asymptotic structure of a (C,E,P)-algebra, written as a factor space M_{(…
A new approach to temperate generalized functions
Antoine Delcroix
A new approach to the algebra G_τ of temperate nonlinear generalized functions is proposed, in which G_τ is based on the space O_{M} endowed with is natural topology in contrary to…
On generalized Sobolev algebras and their applications
Séverine Bernard, Silvère Paul Nuiro
In the last two decades, many algebras of generalized functions have been constructed, particularly the so-called generalized Sobolev algebras. Our goal is to study the latter and…
Composition and exponential of compactly supported generalized integral kernel operators
Séverine Bernard, Jean-François Colombeau, Antoine Delcroix
We extend the theory of distributional kernel operators to a framework of generalized functions, in which they are replaced by integral kernel operators. Moreover, in contrast to t…