Interpolation with meromorphic matrix functions

Author:

Ball Joseph A.,Clancey Kevin F.

Abstract

A complete solution is given to a first-order pole-zero meromorphic matrix function interpolation problem on a closed Riemann surface. The solution to the interpolation problem is constructed from the solution to a natural linear homogeneous system.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference5 articles.

1. Vector bundles over an elliptic curve;Atiyah, M. F.;Proc. London Math. Soc. (3),1957

2. Operator Theory: Advances and Applications;Ball, Joseph A.,1990

3. Graduate Texts in Mathematics;Farkas, Hershel M.,1980

4. Minimal divisors of rational matrix functions with prescribed zero and pole structure;Gohberg, I.,1984

5. A. Weil, Généralization des fonctions abéliennes, J. Math. Pures Appl. 17 (1938), 47-87.

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