Title | New Aspects in Interpolation and Completion Theories [electronic resource] / edited by I. Gohberg |
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Imprint | Basel : Birkhรคuser Basel : Imprint: Birkhรคuser, 1993 |
Connect to | http://dx.doi.org/10.1007/978-3-0348-8562-1 |
Descript | X, 221 p. online resource |
The tangential trigonometric moment problem on an interval and related topics -- 1. Introduction -- 2. Some lemmas on matrix-valued rational functions -- 3. The main result -- 4. The Nevanlinna-Pick problem -- References -- Maximum entropy and joint norm bounds for operator extensions -- 1. Introduction -- 2. A sharp bound in the 2ร2 case -- 3. The maximum entropy method -- 4. An application to integral operators -- References -- Bitangential interpolation for input-output operators of time varying systems: the discrete time case -- 0. Introduction -- 1. Residue calculus and generalized point evaluation -- 2. Pairs of diagonal operators and homogeneous one-sided interpolation -- 3. Bitangential interpolation data set -- 4. Bitangential interpolation in geometric terms -- 5. Intermezzo about admissible Sylvester data sets -- 6. Construction of a particular solution -- 7. Parametrization of all solutions (without norm constraints) -- 8. Input-output operators of time-varying systems -- 9. Parametrization of all contractive input-output operators satisfying the bitangential interpolation conditions -- References -- Two-sided tangential interpolation of real rational matrix functions -- 1. Introduction -- 2. Minimal realizations -- 3. Local data -- 4. Two-sided tangential interpolation: existence of real interpolants -- 5. Two-sided tangential interpolation with real-valued data: Description of interpolants -- 6. Degrees of interpolants -- 7. Generalized Nevanlinna-Pick interpolation for real rational matrix functions -- References -- On the spectra of operator completion problems -- 1. Introduction -- 2. Case of finite dimensional spaces -- 3. Case of infinite dimensional spaces -- References -- The exact H2 estimate for the central H? interpolant -- 1. An improved Kaftal-Larson-Weiss estimate -- 2. Some formulas for DB? -- 3. The role of DA?2II0* -- 4. The four block problem -- 5. Optimal solutions -- References -- On mixed H2 โ H? tangential interpolation -- 1. Introduction -- 2. Formulas for the central solution -- 3. A state space approach -- 4. Applications of the H2 โ H? tangential interpolation problem -- References -- On a completion problem for matrices -- 1. Introduction -- 2. Main theorems in the finite dimensional case -- 3. The full range case -- 4. The proof of the main theorems in the finite dimensional case -- 5. Infinite dimensional case -- References