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Interpolation by vector-valued analytic functions, with applications to controllability |
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| Authors: | Birgit Jacob Jonathan R. Partington |
| Affiliation: | a Department of Applied Mathematics, Delft University of Technology, PO Box 5031, 2600 GA Delft, The Netherlands b School of Mathematics, University of Leeds, Leeds LS2 9JT, UK c Department of Mathematics, University of Glasgow, Glasgow, G12 8QW, UK |
| Abstract: | 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. |
| Keywords: | Hardy space Interpolation Carleson measure Semigroup system Controllability Observability |
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