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On the C -singularities of regular holonomic distributions

Emmanuel Andronikof — 1992

Annales de l'institut Fourier

The analytic and 𝒞 wave-front sets of a distribution which is a solution of a regular holonomic differential system are shown to coincide. More generally, we give comparison theorems for solutions of a regular holonomic system of microdifferential equations in various spaces of microfunctions, as a simple extension of a result of Kashiwara.

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