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Metric Constrained Interpolation, Commutant Lifting and Systems (Operator Theory: Advances and Applications)

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Description:This monograph combines the commutant lifting theorem for operator theory and the state space method from system theory to provide a unified approach for solving both stationary and nonstationary interpolation problems with norm constraints. Included are the operator-valued versions of the tangential Nevanlinna-Pick problem, the Hermite-Fejer problem, the Nehari problem, the Sarason problem, and the two-sided Nudelman problem, and their nonstationary analogues. The main results concern the existence of solutions, the explicit construction of the central solutions in state space form, the maximum entropy property of the central solutions, and state space parametrizations of all solutions. Direct connections between the various interpolation problems are displayed. Applications to H[infinity] control problems are presented. This monograph should appeal to a wide group of mathematicians and engineers. The material is self-contained and may be used for advanced graduate courses and seminars.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Metric Constrained Interpolation, Commutant Lifting and Systems (Operator Theory: Advances and Applications). To get started finding Metric Constrained Interpolation, Commutant Lifting and Systems (Operator Theory: Advances and Applications), you are right to find our website which has a comprehensive collection of manuals listed.
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ISBN: 3034897758

Description: This monograph combines the commutant lifting theorem for operator theory and the state space method from system theory to provide a unified approach for solving both stationary and nonstationary interpolation problems with norm constraints. Included are the operator-valued versions of the tangential Nevanlinna-Pick problem, the Hermite-Fejer problem, the Nehari problem, the Sarason problem, and the two-sided Nudelman problem, and their nonstationary analogues. The main results concern the existence of solutions, the explicit construction of the central solutions in state space form, the maximum entropy property of the central solutions, and state space parametrizations of all solutions. Direct connections between the various interpolation problems are displayed. Applications to H[infinity] control problems are presented. This monograph should appeal to a wide group of mathematicians and engineers. The material is self-contained and may be used for advanced graduate courses and seminars.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Metric Constrained Interpolation, Commutant Lifting and Systems (Operator Theory: Advances and Applications). To get started finding Metric Constrained Interpolation, Commutant Lifting and Systems (Operator Theory: Advances and Applications), you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

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Metric Constrained Interpolation, Commutant Lifting and Systems (Operator Theory: Advances and Applications)

Metric Constrained Interpolation, Commutant Lifting and Systems (Operator Theory: Advances and Applications)

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