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arxiv: 1309.4236 · v1 · pith:IAJAM7MEnew · submitted 2013-09-17 · 🧮 math.AP

Microlocal analysis of quasianalytic Gelfand-Shilov type ultradistributions

classification 🧮 math.AP
keywords quasianalyticanalysisfrontgelfand-shilovmicrolocaloperatorstypeultradistributions
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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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