On the C ∞ -singularities of regular holonomic distributions
Andronikof, Emmanuel
Annales de l'Institut Fourier, Tome 42 (1992), p. 695-705 / Harvested from Numdam
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On montre la coïncidence des fronts d’onde 𝒞 ∞ et analytique d’une distribution satisfaisant un système différentiel holonome régulier. Plus généralement on donne des théorèmes de comparaison de solutions de systèmes microdifférentiels holonomes réguliers dans différents espaces de microfonctions, à partir d’un théorème de Kashiwara.

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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     author = {Andronikof, Emmanuel},
     title = {On the $C^\infty $-singularities of regular holonomic distributions},
     journal = {Annales de l'Institut Fourier},
     volume = {42},
     year = {1992},
     pages = {695-705},
     doi = {10.5802/aif.1306},
     mrnumber = {93h:58146},
     zbl = {0756.58046},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIF_1992__42_3_695_0}
}

Andronikof, Emmanuel. On the $C^\infty $-singularities of regular holonomic distributions. Annales de l'Institut Fourier, Tome 42 (1992) pp. 695-705. doi : 10.5802/aif.1306. http://gdmltest.u-ga.fr/item/AIF_1992__42_3_695_0/

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