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🔗 Source: nyjm.albany.edu
📊 Size: 482 KB
👤 Author: Joseph A. Ball and Vladimir Bolotnikov
⬇️ Downloads: 155

Summary

Nevanlinna-Pick interpolation for Schur-Agler class functions on domains with matrix polynomial defining function in Cn is considered. The problem involves finding a function that satisfies certain interpolation conditions and belongs to the Schur-Agler class. The class consists of analytic functions on a domain DQ defined by a matrix polynomial Q(z) and satisfying a von Neumann inequality. The paper presents a parametrization of the set of all solutions in terms of a Redheffer linear fractional transformation acting on a free-parameter function from the class subject to no interpolation conditions. The matrix of the linear fractional transformation is given explicitly in terms of the interpolation data in the finite-dimensional case.

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Description

Nevanlinna-Pick interpolation for Schur-Agler class functions on domains with matrix polynomial defining function in Cn is considered.

Technical Information

  • File Format: PDF
  • File Size: 482 KB
  • Pages: 44
  • Language: EN
  • Author: Joseph A. Ball and Vladimir Bolotnikov
  • Total Downloads: 155
  • Last Updated: 5 hours ago

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