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The surjectivity of a constant coefficient homogeneous differential operator in the real analytic functions and the geometry of its symbol

Rüdiger W. Braun (1995)

Annales de l'institut Fourier

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.

Trace theorem on the Heisenberg group

Hajer Bahouri, Jean-Yves Chemin, Chao-Jiang Xu (2009)

Annales de l’institut Fourier

We prove in this work the trace and trace lifting theorem for Sobolev spaces on the Heisenberg groups for hypersurfaces with characteristics submanifolds.

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