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In mathematics, a '''microdiiferential operator''' is a linear operator on a cotangent bundle (phase space) that generalizes a [[differential operator]] and appears in the framework of [[microlocal analysis]] as well as in the Kyoto school of [[algebraic analysis]].
The notion was originally introduced by L. Boutet de Monvel and P. Krée.<ref>{{harvnb|L. Boutet De Monvel, Louis|P. Krée}}</ref> as well as by M. Sato, T. Kawai and M. Kashiwara.<ref>{{harvnb|M. Sato|T. Kawai|M. Kashiwara}}</ref> There is also an approach due to J. Sjöstrand.<ref>{{harvnb| Sjöstrand}}</ref>
== Definition ==
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