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(1)Manifold-valued generalized funtions in full Colombeau spaes Comment.Math.Univ.Carolin

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Manifold-valued generalized funtions in full Colombeau spaes

Comment.Math.Univ.Carolin. 52,4 (2011)519{534.

Abstrat: We introdue the notion of generalized funtion taking values in a smooth

manifoldintothesettingoffullColombeaualgebras. Afterderivinganumberofhara-

terizationresultswealsointrodueaorrespondingoneptofgeneralizedvetorbundle

homomorphismsand,basedonthis,provideadenitionoftangentmapforsuhgeneral-

izedfuntions.

Keywords:algebrasofgeneralizedfuntions,manifold-valuedgeneralizedfuntions,full

Colombeaualgebras

AMSSubjetClassiation:Primary46F30; Seondary46T30,26E15

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