Interpolation with meromorphic matrix functions
HTML articles powered by AMS MathViewer
- by Joseph A. Ball and Kevin F. Clancey PDF
- Proc. Amer. Math. Soc. 121 (1994), 491-496 Request permission
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.References
- M. F. Atiyah, Vector bundles over an elliptic curve, Proc. London Math. Soc. (3) 7 (1957), 414–452. MR 131423, DOI 10.1112/plms/s3-7.1.414
- Joseph A. Ball, Israel Gohberg, and Leiba Rodman, Interpolation of rational matrix functions, Operator Theory: Advances and Applications, vol. 45, Birkhäuser Verlag, Basel, 1990. MR 1083145, DOI 10.1007/978-3-0348-7709-1
- Hershel M. Farkas and Irwin Kra, Riemann surfaces, Graduate Texts in Mathematics, vol. 71, Springer-Verlag, New York-Berlin, 1980. MR 583745
- I. Gohberg, M. A. Kaashoek, L. Lerer, and L. Rodman, Minimal divisors of rational matrix functions with prescribed zero and pole structure, Topics in operator theory systems and networks (Rehovot, 1983) Oper. Theory Adv. Appl., vol. 12, Birkhäuser, Basel, 1984, pp. 241–275. MR 761363 A. Weil, Généralization des fonctions abéliennes, J. Math. Pures Appl. 17 (1938), 47-87.
Additional Information
- © Copyright 1994 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 121 (1994), 491-496
- MSC: Primary 47A57; Secondary 30E20, 32A20
- DOI: https://doi.org/10.1090/S0002-9939-1994-1189741-6
- MathSciNet review: 1189741