On coincidence of [lambda]- and [mu]-holomorphic functions on the boundary of a domain and applications to elliptic boundary value problems

We establish that [lambda]- and [mu]-holomorphic functions can coincide on the boundary of a domain only if the complex numbers [lambda] and [mu] lie in the same half-plane Im z > 0 or Im z < 0. We describe applications to the uniqueness question for the Dirichlet problem for second order elliptic systems and the Schwartz problem for vector-valued functions that are analytic in the sense of Douglis. Bibliography: 6 titles.