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Abstract
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Modern analysis, and in particular microlocal analysis, without Fourier integral operators (fios) and pseudo-differential operators ( dos) seems to have difficulty in acting. In these theories, symbols lie in a certain category of infinitely differentiable functions. Here, we introduce a class of supersymbols which generalize the usual concept of symbols. In this way, we can introduce particular families of do (denoted by s do) and fio (denoted by sfio) with supersymbols and a kind of phase function. Finally, we try to make a s do from a sfio under some additional conditions.
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