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Colombeau generalized Gevrey ultradistributions and their microlocal analysis

K. Benmeriem·C. Bouzar
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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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K. Benmeriem, C. Bouzar. 2006-03-25. Colombeau generalized Gevrey ultradistributions and their microlocal analysis. https://arxiv.org/abs/math/0603597

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