Algebras of generalized functions through sequence spaces algebras. Functoriality and associations
Delcroix, Antoine ; Hasler, Maximilian F. ; Pilipovic, Stevan ; Valmorin, Vincent
HAL, hal-00761083 / Harvested from HAL
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.
Publié le : 2002-07-05
Classification:  [MATH.MATH-FA]Mathematics [math]/Functional Analysis [math.FA]
@article{hal-00761083,
     author = {Delcroix, Antoine and Hasler, Maximilian F. and Pilipovic, Stevan and Valmorin, Vincent},
     title = {Algebras of generalized functions through sequence spaces algebras. Functoriality and associations},
     journal = {HAL},
     volume = {2002},
     number = {0},
     year = {2002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00761083}
}
Delcroix, Antoine; Hasler, Maximilian F.; Pilipovic, Stevan; Valmorin, Vincent. Algebras of generalized functions through sequence spaces algebras. Functoriality and associations. HAL, Tome 2002 (2002) no. 0, . http://gdmltest.u-ga.fr/item/hal-00761083/