Two-sided tangential interpolation for Hilbert-Schmidt operator functions on polydisks Academic Article uri icon

abstract

  • Bitangential interpolation problems are formulated for the class of Hilbert-Schmidt operator-valued functions, which are analytic on a polydisk and have square summable power series. A procedure is described for reduction of the problems in d-disk to the analogous problems in (d - 1)-disk. Using this procedure, for the case of the bidisk, the minimal norm solutions are explicitly described in terms of the interpolation data, and formulas for the general solution are obtained.

publication date

  • January 1, 2001