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Generalized Hyperfunctions and Algebra of Megafunctions

Generalized Hyperfunctions and Algebra of Megafunctions

Sheaves of spaces of generalized hyperfunctions BG and algebras of megafunctions MG are introduced.The first one is a flabby sheaf.Moreover, there exist injective sheaf homomorphisms G → BG and BG → MG, where G is the algebra of Colombeau generalized functions.