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Un théorème de fonctions implicites. Applications

Francis Sergeraert (1973)

Annales de l'institut Fourier

On énonce un théorème de fonctions implicites du type de Nash-Moser, et on indique une application à l’étude des singularités de fonctions différentiables réelles (problème du déploiement universel de Thom).

Universal zero solutions of linear partial differential operators

Thomas Kalmes, Markus Niess (2010)

Studia Mathematica

A generalized approach to several universality results is given by replacing holomorphic or harmonic functions by zero solutions of arbitrary linear partial differential operators. Instead of the approximation theorems of Runge and others, we use an approximation theorem of Hörmander.

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