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arXiv · 1405.1942

Parametrices and hypoellipticity for pseudodifferential operators on spaces of tempered ultraditributions

Marco Cappiello·Stevan Pilipovic·Bojan Prangoski
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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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Marco Cappiello, Stevan Pilipovic, Bojan Prangoski. 2014-05-08. Parametrices and hypoellipticity for pseudodifferential operators on spaces of tempered ultraditributions. https://arxiv.org/abs/1405.1942

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