Embeddings of ultradistributions and periodic hyperfunctions in Colombeau type algebras through sequence spaces
Delcroix, Antoine ; Hasler, Maximilian F. ; Pilipovic, Stevan ; Valmorin, Vincent
HAL, hal-00758568 / Harvested from HAL
Text on HAL
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 G are well known, but for ultradistribution and periodic hyperfunction type spaces we give new constructions. We show that the multiplication of regular enough functions (smooth, ultradifferentiable or quasianalytic), embedded into corresponding algebras, is the ordinary multiplication.
Publié le : 2004-11-05
Classification:  [MATH.MATH-FA]Mathematics [math]/Functional Analysis [math.FA] 
@article{hal-00758568,
     author = {Delcroix, Antoine and Hasler, Maximilian F. and Pilipovic, Stevan and Valmorin, Vincent},
     title = {Embeddings of ultradistributions and periodic hyperfunctions in Colombeau type algebras through sequence spaces},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00758568}
}

Delcroix, Antoine; Hasler, Maximilian F.; Pilipovic, Stevan; Valmorin, Vincent. Embeddings of ultradistributions and periodic hyperfunctions in Colombeau type algebras through sequence spaces. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00758568/