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Tuesday, May 12, 2020 | History

1 edition of The Commutant Lifting Approach to Interpolation Problems: OT`44 (Operator Theory: Advances and Applications) found in the catalog.

The Commutant Lifting Approach to Interpolation Problems: OT`44 (Operator Theory: Advances and Applications)

Foias

The Commutant Lifting Approach to Interpolation Problems: OT`44 (Operator Theory: Advances and Applications)

by Foias

  • 383 Want to read
  • 35 Currently reading

Published by Birkhauser .
Written in English

    Subjects:
  • Mathematical foundations,
  • General,
  • Science / General,
  • Science,
  • Interpolation,
  • Lifting theory

  • The Physical Object
    FormatHardcover
    Number of Pages632
    ID Numbers
    Open LibraryOL12866387M
    ISBN 103764324619
    ISBN 109783764324612


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The Commutant Lifting Approach to Interpolation Problems: OT`44 (Operator Theory: Advances and Applications) by Foias Download PDF EPUB FB2

The Commutant Lifting Approach to Interpolation Problems. Authors (view affiliations) Ciprian Foias; Some Classical Interpolation Problems. Ciprian Foias, Arthur E. Frazho. Arthur E. Frazho. Pages Inverse Scattering Algorithms for the Commutant Lifting Theorem.

Ciprian Foias, Arthur E. Frazho. Pages The Schur. Foias C., Frazho A.E. () Analysis of the Caratheodory Interpolation Problem. In: The Commutant Lifting Approach to Interpolation Problems. OT 44 Operator Theory: Advances and Applications, vol Author: Ciprian Foias, Arthur E. Frazho. A time-variant analogue of an interpolation problem equivalent to the relaxed commutant lifting problem is introduced and studied.

In a somewhat less general form the problem already appears in the analysis of the set of all solutions to the three chain completion : A. Frazho, S. ter Horst, M. Kaashoek. Foias and A. Frazho, The Commutant Lifting Approach to Interpolation Problems, OT 44, Birkhäuser-Verlag, Basel, Relaxed commutant lifting: an equivalent version and a new application.

Using the equivalence betw een relaxed commutant lifting and the H 2 interpolation problem defined by ω, as describ ed in [9], Theorem fr om [11] provides the following Redheffer.

Read "Multidimensional Linear Feedback Control Systems and Interpolation Problems for Multivariable Holomorphic Functions, Multidimensional Systems and Signal Processing" on DeepDyve, the largest online rental service for scholarly research with thousands of academic publications available at your fingertips.

H. Dym, J-Contractive Matrix Functions, Reproducing Kernel Hilbert Spaces and In- terpolation,CBMSRegionalConference Ser American Mathematical Society, Providence, [31] C.

Foias and A. Frazho, The Commutant Lifting Approach to Interpolation Prob- lems, OT 44, Birkhäuser-Verlag, Basel-Boston, [32] C. Interpolation problems for multipliers on the Drury-Arveson space A multivariable generalization of the Szeg˝ o kernel much studied of late is the positive kernel 1 𝑘𝑑 (𝝀, 𝜻) = 1 − 𝝀, 𝜻 { } on 𝔹𝑑 × 𝔹𝑑, where 𝔹𝑑 = 𝝀 = (𝜆1, 𝜆𝑑) ∈ ℂ𝑑: 𝝀, 𝝀 1 is the unit ball of the 𝑑.

The book of Francis [64] was the first book on H ∞ -control and provides a good summary of the state of the subject in While there was a lot of work emphasizing the connection of the H ∞ -problem with interpolation and the related approach through J-spectral factorization ([26, 90, 91, 86, 87, 33, 24]), we should point out that the.