This well-written book is a self-contained and unified presentation of the solution of stationary and nonstationary interpolation problems with norm constraints, in finite or infinite dimensions. The basic techniques are the commutant lifting theorem from operator theory and the state space method from mathematical system theory, which are combined to solve these problems. System theory is used not only for stating the problems, but also for delivering state space formulas which describe the solutions. The interaction between interpolation and system theory proved very useful for recent advances in both fields.
by C. Foias, A.E. Frazho, I. Gohberg and M. A. Kaashoek
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