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Surface Projective Convexe de volume fini

Ludovic Marquis (2012)

Annales de l’institut Fourier

Une surface projective convexe est le quotient d’un ouvert proprement convexe Ω de l’espace projectif réel 2 ( ) par un sous-groupe discret Γ de SL 3 ( ) . Nous donnons plusieurs caractérisations du fait qu’une surface projective convexe est de volume fini pour la mesure de Busemann. On en déduit que si Ω n’est pas un triangle alors Ω est strictement convexe, à bord 𝒞 1 et qu’une surface projective convexe S est de volume fini si et seulement si la surface duale est de volume fini.

Symbol calculus on the affine group "ax + b"

Qihong Fan (1995)

Studia Mathematica

The symbol calculus on the upper half plane is studied from the viewpoint of the Kirillov theory of orbits. The main result is the L p -estimates for Fuchs type pseudodifferential operators.

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