Operator Theory, System Theory and Related Topics
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Home > Mathematics and Science Textbooks > Mathematics > Calculus and mathematical analysis > Functional analysis and transforms > Operator Theory, System Theory and Related Topics: The Moshe Livšic Anniversary Volume(123 Operator Theory: Advances and Applications)
Operator Theory, System Theory and Related Topics: The Moshe Livšic Anniversary Volume(123 Operator Theory: Advances and Applications)

Operator Theory, System Theory and Related Topics: The Moshe Livšic Anniversary Volume(123 Operator Theory: Advances and Applications)


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About the Book

The present selection of refereed papers is dedicated to Moshe Livsic on the occasion of his 80th anniversary. It covers many areas of operator theory and its applications, reflecting the breadth and the profound impact of his work. In particular, some of his most recent ideas on 2D-systems are presented. Other contributions cover important avenues of modern operator theory in such fields as interpolation theory (also in the so-called nonstationary setting), direct and inverse problems for the string equation and for non-self-adjoint differential operators, operator models and function theory. The volume should appeal to a wide audience of pure and applied mathematicians, electrical engineers and theoretical physicists.

Table of Contents:
List of Publications of M. S. Livšic.- Vortices of 2D Systems.- Realization and Factorization in Reproducing Kernel Pontryagin Spaces.- Models of Contractions Constructed from the Defect Function of Their Characteristic Functions.- Measure Schur Complements and Spectral Functions of Unitary Operators with Respect to Different Scales.- On the Second Order Interpolation for Rational Vector Functions.- Generalized Moments, Center-focus Conditions, and Compositions of Polynomials.- Inverse Spectral Problem for the Sturm-Liouville Operator with Eigenvalue Parameter Dependent Boundary Condition.- A Module Approach to Commutant Lifting on Kre?n Spaces.- On Dual Canonical Systems and Dual Matrix String Equations.- Angle between Subspaces of Analytic and Antianalytic Functions in Weighted L2 Spaces on the Boundary of a Multiply Connected Domain.- Bitangential Interpolation for Upper Triangular Operators with Infinitely Many Interpolation Nodes.- Some Applications of Operator-valued Herglotz Functions.- Analogues of a Theorem of Frostman on Linear Fractional Transformations of Inner Functions and the Typical Spectral Structure of Analytic Families of Weak Contractions.- Right and Left Joint System Representation of a Rational Matrix Function in General Position (System Representation Theory for Dummies).- One-parameter Semigroups of Fractional-linear Transformations.- Scattering from an Impurity: Lax-Phillips Approach.- Spectral Theory of Wiener-Hopf Operators and Functional Model.- Operator Dilations with Prescribed Commutators.- Condition of Orthogonality of Spectral Matrix Function.- Functional Models of Linear Operators.- Non-self-adjoint Periodic Dirac Operators.- A Note on Hyponormal Operators Associated with Quadrature Domains.- Two Remarks on Fuchsian Groups of WidomType.- A Functional Model for the Lie Algebra SL(2, ?) of Linear Non-self-adjoint Operators.


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Product Details
  • ISBN-13: 9783764365233
  • Publisher: Birkhauser Verlag AG
  • Publisher Imprint: Birkhauser Verlag AG
  • Height: 235 mm
  • No of Pages: 567
  • Returnable: Y
  • Sub Title: The Moshe Livšic Anniversary Volume
  • ISBN-10: 3764365234
  • Publisher Date: 01 Mar 2001
  • Binding: Hardback
  • Language: English
  • Returnable: Y
  • Series Title: 123 Operator Theory: Advances and Applications
  • Width: 155 mm


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