Microlocal analysis of partial differential operators with irregular singularities

Calcul exponentiel des opérateurs microdifférentiels d'ordre infini. I

“…C'est-à-dire, on peut regarder un opérateur microdifférentiel, donc un opérateur différentiel, d'ordre fini ou infini pour un opérateur microlocal holomorphe. Les opérateurs d'ordre infini sont utilisés dans les études des problèmes variés [12], [19], [20], [2l], [22].…”

Foundation of symbol theory for analytic pseudodifferential operators, I

“…Since the symbol theory developed in [23] was not published, some parts of it were supplied by the first author [2] and the theory played a role in the analysis of operators of infinite order (cf. Aoki [1], [3], Aoki, Kawai, Koike and Takei [7], Aoki, Kawai and Takei [8], Kajitani and Wakabayashi [14], Kataoka [24], Uchikoshi [32]). Some systematic description of the theory has been included in the book of Aoki, Kataoka and Yamazaki [6].…”