Parametrices and hypoellipticity for pseudodifferential operators on spaces of tempered ultraditributions
classification
🧮 math.AP
keywords
spaceshypoellipticityoperatorsparametricespseudodifferentialtemperedactingbeurling
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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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