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- Antoine Delcroix
- 2008

We present new types of regularity for nonlinear generalized functions, based on the notion of regular growth with respect to the regularizing parameter of the Colombeau simplified model. Thisâ€¦ (More)

- SÃ©verine Bernard, Jean-FranÃ§ois Colombeau, Antoine Delcroix
- 2005

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 the distributionalâ€¦ (More)

- Antoine Delcroix
- 2008

A new approach to the algebra GÏ„ of temperate nonlinear generalized functions is proposed, in which GÏ„ is based on the space OM endowed with is natural topology in contrary to previous constructions.â€¦ (More)

We introduce a new type of local and microlocal asymptotic analysis in algebras of generalized functions, based on the presheaf properties of those algebras and on the properties of their elementsâ€¦ (More)

- Antoine Delcroix, Maximilian F. Hasler, Stevan Pilipovic, Vincent S. Valmorin
- 2002

A topological description of various generalized function algebras over corresponding basic locally convex algebras is given. The framework consists of algebras of sequences with appropriateâ€¦ (More)

- Antoine Delcroix, Maximilian F. Hasler, +5 authors Vincent S. Valmorin
- 2002

In a recent paper, we gave a topological description of Colombeau type algebras introducing algebras of sequences with exponential weights. Embeddings of Schwartz spaces into the Colombeau algebra Gâ€¦ (More)

- Antoine Delcroix, Maximilian F. Hasler, Stevan Pilipovic, Vincent S. Valmorin
- 2002

Starting from a description of various generalized function algebras based on sequence spaces, we develop the general framework for considering linear problems with singular coefficients or nonâ€¦ (More)

- Jean-Pierre Cherdieu, Antoine Delcroix, Jean-Claude Mado, Dany-Jack Mercier
- Applicable Algebra in Engineering, Communicationâ€¦
- 1997

â€‚We recall the construction of the hermitian-forms codes and some results about hermitians forms and exponential sums. With the help of these results, we give the weight distribution of theâ€¦ (More)

In connection with the classical Schwartz kernel theorem, we show that in the framework of Colombeau generalized functions a large class of linear mappings admit integral kernels. To do this, we needâ€¦ (More)

- Antoine Delcroix
- 2008

A new approach to the algebra GÏ„ of temperate nonlinear generalized functions is proposed, in which GÏ„ is based on the space OM endowed with is natural topology in contrary to previous constructions.â€¦ (More)