Nevanlinna-Pick problem on reproducing kernel spaces

Kin Y. Li
2018 International Journal of Contemporary Mathematical Sciences  
The Nevanlinna-Pick problem on a reproducing kernel space is known to be solvable if and only if the Nevanlinna-Pick matrix is nonnegative. In this paper, we give a constructive proof showing the determinant of the matrix is nonnegative is already equivalent to the solvability of the problem. Then we obtain formulas for the minimal norm among solutions and consequences concerning interpolating values. Mathematics Subject Classification: 46E22
doi:10.12988/ijcms.2018.71240 fatcat:7lgmzp4z3jfbtnacok22dftqvm