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Colombeau generalized Gevrey ultradistributions and their microlocal analysis

K. Benmeriem, C. Bouzar

math.FAarXiv:math/0603597

Abstract

The purpose of this paper is to construct and to study algebras of generalized Gevrey ultardistributions. We define the generalized Gevrey wave front and give its main properties. As a fundamental application, the well known Hormander's theorem on the product of two distributions is extended to the case of generalized Gevrey ultradistributions

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