Invertibility for Microdifferential Operators of Infinite Order
Takashi Aoki · Publications of the Research Institute for Mathematical Sciences · 1982
For each holomorphic microlocal operator its symbol ib defined as a holomorphic function which satisfies a growth condition.A differential or micro (=pbeudo-) differential operator of infinite order is naturally regarded as a holomorphic microlocal operator and its symbol coincides with the usual total symbol.Some sufficient conditions of invertibility for holomorphic microlocal operators in terms of symbols are given.