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math.FA2001
Diffeomorphism invariant Colombeau algebras. Part II: Classification
Michael Grosser
This contribution presents a comprehensive analysis of Colombeau (-type) algebras in the range between the diffeomorphism invariant algebra introduced in Part I and Colombeau's ori…
math.FA1999
On the foundations of nonlinear generalized functions II
Michael Grosser
This paper gives a comprehensive analysis of algebras of Colombeau-type generalized functions in the range between the diffeomorphism-invariant quotient algebra $\mathcal{G}^d = \m…
math.FA1999
On the foundations of nonlinear generalized functions I
Eva Farkas, Michael Grosser, Michael Kunzinger +1
We construct a diffeomorphism invariant (Colombeau-type) differential algebra canonically containing the space of distributions in the sense of L. Schwartz. Employing differential…