Pick Interpolation and Hilbert Function Spaces
Jim Agler, John Edward McCarthy · Graduate studies in mathematics · 2002
Prerequisites and notation Introduction Kernels and function spaces Hardy spaces $P^2(\mu)$ Pick redux Qualitative properties of the solution of the Pick problem in $H^\infty(\mathbb{D})$ Characterizing kernels with the complete Pick property The universal Pick kernel Interpolating sequences Model theory I: Isometries The bidisk The extremal three point problem on $\mathbb{D}^2$ Collections of kernels Model theory II: Function spaces Localization Schur products Parrott's lemma Riesz interpolation The spectral theorem for normal $m$-tuples Bibliography Index.