Colombeau generalized Gevrey ultradistributions and their microlocal analysis

Mathematics – Functional Analysis

Scientific paper

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Scientific paper

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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