Algebras of generalized functions through sequence spaces algebras. Functoriality and associations

Delcroix, Antoine; Hasler, Maximilian F.; Pilipović, Stevan; Valmorin, Vincent

Algebras of generalized functions through sequence spaces algebras. Functoriality and associations

Authors

Delcroix, Antoine

Hasler, Maximilian F.

Pilipović, Stevan

Valmorin, Vincent

Description

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 non linear problems. Therefore, we prove functorial properties of those algebras and show how weak equalities, in the sense of various associations, can be described in this setting.