A property of extension is studied for solutions of linear elliptic systems of differential equations. We show that the dimension of the characteristic variety of the system plays a key role in the problem.

(The present proof of this old result roughly follows the proof given in Hörmander's An Introduction to Complex Analysis in Several Variables, which I believe roughly follows Hartogs' original argument.) Theorem: Let f be a C-valued function defined in an open set U ⊂ C n. Suppose that f is analytic in each variable z j when the other coordinates z k for k = j are fixed. Then f is analytic as a...

purpose: to compare the results of two different methods of frontalis suspension using fascia lata in congenital ptosis. methods: in a randomized clinical trial, double triangle sling was compared with single triangle sling using fascia lata. eight patients with unilateral and 11 patients with bilateral congenital ptosis were randomly assigned for each procedure. results: there was no statistic...

A generalization of Kwack’s theorem to the infinite dimensional case is obtained. We consider a holomorphic map f from Z \ H into Y , where H is a hypersurface in a complex Banach manifold Z and Y is a hyperbolic Banach space. Under various assumptions on Z, H and Y we show that f can be extended to a holomorphic map from Z into Y . Moreover, it is proved that an increasing union of pseudoconve...

We establish basic results of complex function theory within certain algebras of holomorphic functions on coverings of Stein manifolds (such as algebras of Bohr’s holomorphic almost periodic functions on tube domains or algebras of all fibrewise bounded holomorphic functions arising, e.g., in the corona problem for H). In particular, in this context we obtain results on holomorphic extension fr...