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Displaying similar documents to “Equality of two diffeomorphism invariant Colombeau algebras”

On introduction of two diffeomorphism invariant Colombeau algebras

Jiří Jelínek (2004)

Commentationes Mathematicae Universitatis Carolinae

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Equivalent definitions of two diffeomorphism invariant Colombeau algebras introduced in [7] and [5] (Grosser et al.) are listed and some new equivalent definitions are presented. The paper can be treated as tools for proving in [8] the equality of both algebras.

Effective formulas for complex geodesics in generalized pseudoellipsoids with applications

Włodzimierz Zwonek (1995)

Annales Polonici Mathematici

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We introduce a class of generalized pseudoellipsoids and we get formulas for their complex geodesics in the convex case. Using these formulas we get a description of automorphisms of the pseudoellipsoids. We also solve the problem of biholomorphic equivalence of convex complex ellipsoids without any sophisticated machinery.