An intrinsic definition of the Colombeau generalized functions
Jelínek, Jiří
Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999), p. 71-95 / Harvested from Czech Digital Mathematics Library
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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 \text{$\Cal C^\infty $} manifold. The previous attempt in [5] is corrected, several equivalent definitions are presented.

Publié le : 1999-01-01
Classification:  46F05,  46F30,  46G05 
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     author = {Ji\v r\'\i\ Jel\'\i nek},
     title = {An intrinsic definition of the Colombeau generalized functions},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {40},
     year = {1999},
     pages = {71-95},
     zbl = {1060.46513},
     mrnumber = {1715203},
     language = {en},
     url = {http://dml.mathdoc.fr/item/119064}
}

Jelínek, Jiří. An intrinsic definition of the Colombeau generalized functions. Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999) pp. 71-95. http://gdmltest.u-ga.fr/item/119064/

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