Envelopes of Holomorphy and Polynomial Hulls.
Envelopes of holomorphy for solutions of the Laplace and Dirac equations
Analytic continuation and domains of holomorphy for solution to the complex Laplace and Dirac equations in are studied. First, geometric description of envelopes of holomorphy over domains in is given. In more general case, solutions can be continued by integral formulas using values on a real dimensional cycle in . Sufficient conditions for this being possible are formulated.
Envelopes of holomorphy in
Espaces de Stein et faisceaux localement libres.
Extension of Holomorphic Maps into Hermitian Manifolds.
Extension phenomena for holomorphic geometric structures.
Extension theorems of Sakai type for separately holomorphic and meromorphic functions
We first exhibit counterexamples to some open questions related to a theorem of Sakai. Then we establish an extension theorem of Sakai type for separately holomorphic/meromorphic functions.