Interpolation by vector-valued analytic functions, with applications to controllability

In this paper, norm estimates are obtained for the problem of minimal-norm tangential interpolation by vector-valued analytic functions, expressed in terms of the Carleson constants of related scalar measures. Applications are given to the controllability properties of linear semigroup systems with a Riesz basis of eigenvectors. © 2007 Elsevier Inc. All rights reserved.