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arxiv: 1210.5143 · v1 · pith:I5TJXZWRnew · submitted 2012-10-18 · 🧮 math.AP · math.FA

A few remarks on time-frequency analysis of Gevrey, analytic and ultra-analytic functions

classification 🧮 math.AP math.FA
keywords analysisanalyticgevreyoperatorspseudodifferentialtime-frequencyalmostbrief
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We give a brief survey of recent results concerning almost diagonalization of pseudodifferential operators via Gabor frames. Moreover, we show new connections between symbols with Gevrey, analytic or ultra-analityc regularity and time-frequency analysis of the corresponding pseudodifferential operators.

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