Invertibility of microdifferential operators of infinite order
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Publication:1839371
DOI10.2977/prims/1195183567zbMath0512.35077OpenAlexW2027041209MaRDI QIDQ1839371
Publication date: 1982
Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2977/prims/1195183567
Pseudodifferential operators as generalizations of partial differential operators (35S05) Pseudodifferential and Fourier integral operators on manifolds (58J40) Nevanlinna theory; growth estimates; other inequalities of several complex variables (32A22) Holomorphic functions of several complex variables (32A10)
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On a class of linear differential operators of infinite order with finite index ⋮ Unnamed Item ⋮ Pseudodifferential operators of infinite order and Gevrey classes ⋮ On the geometry of differential equations associated with the theta-zerovalue ⋮ Calcul exponentiel des opérateurs microdifférentiel d'ordre infini. I ⋮ Microlocal analysis ⋮ SYMBOLS OF MINIMUM TYPE AND OF ZERO CLASS IN EXPONENTIAL CALCULUS ⋮ Singular Cauchy problems for a class of weakly hyperbolic differential operators ⋮ The exponential calculus of microdifferential operators of infinite order. I, II ⋮ Microlocal analysis of partial differential operators with irregular singularities ⋮ The exponential calculus of microdifferential operators of infinite order. III ⋮ Microlocal energy methods and pseudo-differential operators ⋮ Calcul exponential des opérateurs microdifférentiels d'ordre infini. II
Cites Work
- Problème de Cauchy pour les systèmes microdifferentiels dans le domaine complexe
- Micro-hyperbolic systems
- On holonomic systems of microdifferential equations. III: Systems with regular singularities
- Opérateurs pseudo-différentiels analytiques et opérateurs d'ordre infini. (Analytic pseudo-differential operators and operators of infinite order.)
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