Page 1

Displaying 1 – 19 of 19

Showing per page

Les noyaux de Bergman et Szegö pour des domaines strictment pseudo-convexes qui généralisent la boule.

Jean-Jacques Loeb (1992)

Publicacions Matemàtiques

Let G be a complex semi-simple group with a compact maximal group K and an irreducible holomorphic representation ρ on a finite dimensional space V. There exists on V a K-invariant Hermitian scalar product. Let Ω be the intersection of the unit ball of V with the G-orbit of a dominant vector. Ω is a generalization of the unit ball (case obtained for G = SL(n,C) and ρ the natural representation on Cn).We prove that for such manifolds, the Bergman and Szegö kernels as for the ball are rational fractions...

Local Peak Sets in Weakly Pseudoconvex Boundaries in n

Borhen Halouani (2009)

Annales de la faculté des sciences de Toulouse Mathématiques

We give a sufficient condition for a C ω (resp. C )-totally real, complex-tangential, ( n - 1 ) -dimensional submanifold in a weakly pseudoconvex boundary of class C ω (resp. C ) to be a local peak set for the class 𝒪 (resp. A ). Moreover, we give a consequence of it for Catlin’s multitype.

Currently displaying 1 – 19 of 19

Page 1