Resumen de Unique continuation in abstract pseudoconcave CR manifolds

Laura De Carli, Mauro Nacinovich

• We prove a Carleman-type estimate for the aM-operator on functions on an abstract pseudoconcave C R manifold of arbitrary C R codimension. From this we deduce a weak unique continuation theorem for functions satisfying a differential inequality related to the tangential Cauchy-Riemann system. This implies the weak unique continuation for C R functions, as well as for C R sections of a C R line bundle.