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Colombeau product of currents

Jiří Jelínek — 2005

Commentationes Mathematicae Universitatis Carolinae

Colombeau product of de Rham's currents coincides with generalized Itano one. Sufficient conditions are found under which it is diffeomorphism invariant.

An intrinsic definition of the Colombeau generalized functions

Jiří Jelínek — 1999

Commentationes Mathematicae Universitatis Carolinae

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 𝒞 manifold. The previous attempt in [5] is corrected, several equivalent definitions are presented.

A Tauberian theorem for distributions

Jiří ČížekJiří Jelínek — 1996

Commentationes Mathematicae Universitatis Carolinae

The well-known general Tauberian theorem of N. Wiener is formulated and proved for distributions in the place of functions and its Ganelius' formulation is corrected. Some changes of assumptions of this theorem are discussed, too.

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