22 citations · 31 across the 7 of their papers we have counts for
14 papers · 1 filter
On removable singularities for CR functions in higher codimension
Joel Merker
We establish the holomorphic wedge extendability of CR functions, defined on an everywhere locally minimal generic submanifold M of C^n and having singularities contained in a subm…
Global minimality of generic manifolds and holomorphic extendibility of CR functions
Joel Merker
Let M be a smooth generic submanifold of C^n. Tumanov showed that the direction of CR extendability parallel propagates with respect to a certain differential geometric partial con…
Explicit differential characterization of PDE systems pointwise equivalent to Y_{X^{j_1}X^{j_2}}=0, 1\leq j_1,j_2\leq n\geq 2
Joel Merker
In this paper, a direct continuation of math.DG/0411165, we generalize S. Lie's linearization criterion of an ordinary second order differential equation to the case of several ind…
Étude de la régularité analytique de l'application de réflexion CR formelle (French)
Joël Merker
Searching normal forms for real analytic submanifolds of C^n involves convergence problems. In 1983, J.K. Moser and S.M. Webster provided examples of real analytic surfaces in C^2…
Propagation of analyticity for essentially finite C^infty-smooth CR mappings
Joel Merker
An analytico-geometric reflection principle is established by means of normal deformations of analytic discs.
Reflection principle and envelopes of holomorphy
Joel Merker
The reflection function of a smooth CR diffeomorphism between two minimal real analytic hypersurfaces is everywhere real analytic.