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Displaying similar documents to “Temperate holomorphic solutions and regularity of holonomic D-modules on curves”

Harmonic synthesis of solutions of elliptic equation with periodic coefficients

Victor P. Palamodov (1993)

Annales de l'institut Fourier

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An elliptic system in n , which is invariant under the action of the group n is considered. We construct a holomorphic family of finite-dimensional subrepresentations of the group in the space of solutions (Floquet solutions), such that any solution of the growth O ( exp ( a | x | ) ) at infinity can be rewritten in the form of an integral over the family.

On the C -singularities of regular holonomic distributions

Emmanuel Andronikof (1992)

Annales de l'institut Fourier

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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.