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arxiv: 0802.2352 · v1 · submitted 2008-02-16 · 🧮 math.AP · math.FA

Trace Ideals for Fourier Integral Operators with Non-Smooth Symbols III

classification 🧮 math.AP math.FA
keywords modulationoperatorsfourierintegralnon-smoothspacessymbolsacting
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We consider Fourier integral operators with symbols in modulation spaces and non-smooth phase functions whose second orders of derivatives belong to certain types of modulation space. We establish continuity and Schatten-von Neumann properties of such operators when acting on modulation spaces.

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