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arXiv · 1309.4236

Microlocal analysis of quasianalytic Gelfand-Shilov type ultradistributions

Marco Cappiello·René Schulz
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Abstract

We introduce a global wave front set suitable for the analysis of tempered ultradistributions of quasianalytic Gelfand-Shilov type. We study the transformation properties of the wave front set and use them to give microlocal existence results for pull-backs and products. We further study quasianalytic microlocality for classes of localization and ultradifferential operators, and prove microellipticity for differential operators with polynomial coefficients.

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Marco Cappiello, René Schulz. 2013-09-17. Microlocal analysis of quasianalytic Gelfand-Shilov type ultradistributions. https://arxiv.org/abs/1309.4236

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