Abstract
Necessary and sufficient conditions are derived for the existence of solutions to discrete time-variant interpolation problems of Nevanlinna-Pick and Nudelman type. The proofs are based on a reduction scheme which allows one to treat these time-variant interpolation problems as classical interpolation problems for operator-valued functions with operator arguments. The latter ones are solved by using the commutant lifting theorem.
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Foias, C., Frazho, A.E., Gohberg, I. et al. Discrete time-variant interpolation as classical interpolation with an operator argument. Integr equ oper theory 26, 371–403 (1996). https://doi.org/10.1007/BF01191244
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DOI: https://doi.org/10.1007/BF01191244