8 citations · 8 across the 3 of their papers we have counts for
7 papers · 1 filter
Analytic regularity of CR maps into spheres
Nordine Mir
Let be a connected real-analytic hypersurface in $\C^N$ and the unit real sphere in $\C^{N'}$, . Assume that does not contain any complex-analytic hypersur…
Convergence of formal embeddings between real-analytic hypersurfaces in codimension one
Nordine Mir
We show that every formal embedding sending a real-analytic strongly pseudoconvex hypersurface in $M\subset \C^N$ into another such hypersurface in $M'\subset \C^{N+1}$ is converge…
Approximation and convergence of formal CR-mappings
Francine Meylan, Nordine Mir, Dmitri Zaitsev
Let be a minimal real-analytic CR-submanifold and a real-algebraic subset through points and . We show that that any formal (ho…
Holomorphic extension of smooth CR-mappings between real-analytic and real-algebraic CR-manifolds
F. Meylan, N. Mir, D. Zaitsev
We establish results on holomorphic extension of CR-mappings of class between a real-analytic CR-submanifold of $\C^N$ and a real-algebraic CR-submanifold of $\C^{N'}$.
Reflection ideals and mappings between generic submanifolds in complex space
M. S. Baouendi, Nordine Mir, Linda Preiss Rothschild
In this paper, we study formal mappings between smooth generic submanifolds in multidimensional complex space and establish results on finite determination, convergence and local b…
On the convergence of formal mappings
Nordine Mir
Let f : (M,p)\to (M',p') be a formal (holomorphic) nondegenerate map, i.e. with formal holomorphic Jacobian J_f not identically vanishing, between two germs of real analytic generi…