The surjectivity of a constant coefficient homogeneous differential operator in the real analytic functions and the geometry of its symbol
Annales de l'Institut Fourier, Volume 45 (1995) no. 1, pp. 223-249.

Hörmander has characterized the surjective constant coefficient partial differential operators on the space of all real analytic functions on N by a Phragmén-Lindelöf condition. Geometric implications of this condition and, for homogeneous operators, of the corresponding condition for Gevrey classes are given.

Hörmander a caractérisé les opérateurs différentiels à coefficients constants sur l’espace des fonctions analytiques réelles sur N par une condition du type Phragmén-Lindelöf. On donne des conséquences géométriques de cette condition et, pour les opérateurs homogènes, de la condition analogue pour les classes de Gevrey.

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Braun, Rüdiger W. The surjectivity of a constant coefficient homogeneous differential operator in the real analytic functions and the geometry of its symbol. Annales de l'Institut Fourier, Volume 45 (1995) no. 1, pp. 223-249. doi : 10.5802/aif.1454. https://aif.centre-mersenne.org/articles/10.5802/aif.1454/

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