Abstract
This work investigates concrete problems of interpolating matrix pole-zero data with multiple-valued meromorphic matrix functions on closed Riemann surfaces. In the case of genus g > 1, a condition sufficient for the existence of a solution having constant factor of automorphy is presented. Necessary and sufficient conditions are presented in the case whereg = 1. A necessary and sufficient condition for single-valued matrix function interpolation in arbitrary genus is also established.
To our friend Harry Dym on the occasion of his 60th birthday
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Ball, J.A., Clancey, K.F., Vinnikov, V. (2002). Concrete Interpolation of Meromorphic Matrix Functions on Riemann Surfaces. In: Alpay, D., Vinnikov, V., Gohberg, I. (eds) Interpolation Theory, Systems Theory and Related Topics. Operator Theory: Advances and Applications, vol 134. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8215-6_7
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DOI: https://doi.org/10.1007/978-3-0348-8215-6_7
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