Sur un théorème concernant les courbes de Jordan
Les fonctions distributionnelles localement intégrables
Equality of two diffeomorphism invariant Colombeau algebras
The two diffeomorphism invariant algebras introduced in Grosser M., Farkas E., Kunziger M., Steinbauer R., , Mem. Amer. Math. Soc. (2001), no. 729, 93 pp., are identical.
On introduction of two diffeomorphism invariant Colombeau algebras
Equivalent definitions of two diffeomorphism invariant Colombeau algebras introduced in [7] and [5] (Grosser et al.) are listed and some new equivalent definitions are presented. The paper can be treated as tools for proving in [8] the equality of both algebras.
Colombeau product of currents
Colombeau product of de Rham's currents coincides with generalized Itano one. Sufficient conditions are found under which it is diffeomorphism invariant.
A contribution to the equivalence results for the product of distributions
Products and , defined by model delta-nets, are equivalent.
A note on regularly asymptotic points
A condition of Schmets and Valdivia for a boundary point of a domain in the complex plane to be regularly asymptotic is ameliorated.
An intrinsic definition of the Colombeau generalized functions
A slight modification of the definition of the Colombeau generalized functions allows to have a canonical embedding of the space of the distributions into the space of the generalized functions on a manifold. The previous attempt in [5] is corrected, several equivalent definitions are presented.
Characterization of the Colombeau product of distributions
Sur des propriétés d'approximation des espaces de distributions, II.
Distinguishing example for the Tillmann product of distributions
Sur le produit simple de deux distributions
Sur des propriétés d'approximation des espaces de distributions. I.
A discontinuous function with a connected closed graph
On the sign of Colombeau functions and applications to conservation laws
A generalized concept of sign is introduced in the context of Colombeau algebras. It extends the sign of the point-value in the case of sufficiently regular functions. This concept of generalized sign is then used to characterize the entropy condition for discontinuous solutions of scalar conservation laws.
Les distributions intégrables sur un ouvert de
Pseudo-unitary spaces
A Tauberian theorem for distributions
The well-known general Tauberian theorem of N. Wiener is formulated and proved for distributions in the place of functions and its Ganelius' formulation is corrected. Some changes of assumptions of this theorem are discussed, too.
Remark on generalization of Minkowski's inequality
Note on sequences of integrable functions
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