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arxiv: 1303.6064 · v1 · pith:IMDTATHZnew · submitted 2013-03-25 · 🧮 math.AP

Pseudodifferential operators of infinite order in spaces of tempered ultradistributions

classification 🧮 math.AP
keywords classesinfiniteoperatorsorderpseudodifferentialtemperedultradistributionsbeurling
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Specific global symbol classes and corresponding pseudodifferential operators of infinite order that act continuously on the space of tempered ultradistributions of Beurling and Roumieu type are constructed. For these classes, symbolic calculus is developed.

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