JournalszaaVol. 12, No. 2pp. 211–238

Two-Sided Nevanlinna-Pick Interpolation for a Class of Matrix-Valued Functions

  • Daniel Alpay

    Ben Gurion University of the Negev, Beer Sheva, Israel
  • Vladimir Bolotnikov

    College of William and Mary, Williamsburg, USA
Two-Sided Nevanlinna-Pick Interpolation for a Class of Matrix-Valued Functions cover
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Abstract

Families of Matrix-valued analytic functions W(ρ,P)W(\rho, P) depending on two parameters ρ\rho and PP are introduced. These include as special cases the Schur and Carathéodory functions, as well as classes of functions studied by the authors in [1] and by D. Alpay and H. Dym in [6]. A two sided Nevanlinna-Pick interpolation problem is defined and solved in W(ρ,P)W(\rho, P), using the fundamental matrix inequality method.

Cite this article

Daniel Alpay, Vladimir Bolotnikov, Two-Sided Nevanlinna-Pick Interpolation for a Class of Matrix-Valued Functions. Z. Anal. Anwend. 12 (1993), no. 2, pp. 211–238

DOI 10.4171/ZAA/570