Central State Space Solutions
The main purpose of this chapter is to provide explicit state space formulas for the central solutions of the Nevanlinna-Pick, Sarason, Nehari, Nudelman and two block interpolation problems. The reader mainly interested in direct applications of these formulas can assume that the state space X is finite dimensional. The formulas are derived by applying the results in the previous chapter for these concrete cases. The corresponding H∞ and L2 bounds are given. Finally, state space formulas are given for the maximum entropy for some of these problems.
KeywordsToeplitz Operator Interpolation Problem Hankel Operator Algebraic Riccati Equation Unilateral Shift
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