Ji\v r\'\i {} Jel\'\i nek
An intrinsic definition of the Colombeau generalized functions

Comment.Math.Univ.Carolinae 40,1 (1999) 71-95.

Abstract: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.

Keywords: Colombeau generalized function, distribution, canonical embedding, manifold
AMS Subject Classification: 46F, 46F05

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