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arxiv: 1710.06210 · v1 · pith:SM6JAJGAnew · submitted 2017-10-17 · 🧮 math.FA

Compactness of Fourier Integral Operators on weighted modulation spaces

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keywords compactnessoperatorsfourierintegralmodulationspacesweightedconsequence
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Using the matrix representation of Fourier integral operators with respect to a Gabor frame, we study their compactness on weighted modulation spaces. As a consequence, we recover and improve some compactness results for pseudodifferential operators.

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