Nevanlinna-Pick interpolation via graph spaces and Krĕın-space geometry: a survey
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چکیده
The Grassmannian/Krĕın-space approach to interpolation theory introduced in the 1980s gives a Krĕın-space geometry approach to arriving at the resolvent matrix which parametrizes the set of solutions to a NevanlinnaPick interpolation or Nehari-Takagi best-approximation problem. We review the basics of this approach and then discuss recent extensions to multivariable settings which were not anticipated in the 1980s. Mathematics Subject Classification (2000). 47A57.
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تاریخ انتشار 2011