Abstract
Modern analysis, and in particular microlocal analysis, without Fourier integral operators (fios) and pseudo-differential operators (\(\psi \) 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 \(\psi \) do (denoted by s \(\psi \) do) and fio (denoted by sfio) with supersymbols and a kind of phase function. Finally, we try to make a s \(\psi \) do from a sfio under some additional conditions.
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Alimohammady, M., Habibi, M. On a particular family of Fourier integral operators. J. Pseudo-Differ. Oper. Appl. 6, 407–412 (2015). https://doi.org/10.1007/s11868-015-0120-1
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DOI: https://doi.org/10.1007/s11868-015-0120-1