Parametrices and hypoellipticity for pseudodifferential operators on spaces of tempered ultraditributions

preprint2014arXivOpen access

Abstract

We construct parametrices for a class of pseudodifferential operators of infinite order acting on spaces of tempered ultradistributions of Beurling and Roumieu type. As a consequence we obtain a result of hypoellipticity in these spaces.

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Parametrices and hypoellipticity for pseudodifferential operators on spaces of tempered ultraditributions | BZPEER