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Iteration theory in hyperbolic domains

Authors:	Fabio Vlacci

Institution:	(1) Dipartimento di Matematica “U. Dini”, Università degli Studi di Firenze, Viale Morgagni 67/A, 50134 Firenze, Italy

Abstract:	We introduce the notion of pointwise regularity ( $\dot {\mathcal{G}}^\infty$ ) of Colombeau’s generalized functions and give comparison theorems between $\dot {\mathcal{G}}^\infty$ regularity, $\mathcal{G}^\infty$ - andC ^∞-regularity. We also define the notion of a pointwise wave front set and establish a theorem concerning the effect of a linear generalized partial differential operator on such a wave front.

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