Bolotnikov, Vladimir; Rodman, Leiba Remarks on interpolation in reproducing kernel Hilbert spaces. (English) Zbl 1067.46035 Houston J. Math. 30, No. 2, 559-576 (2004). Authors’ abstract: An interpolation problem in reproducing kernel Hilbert spaces is formulated and solved in terms of the minimal solution and the elements of an auxiliary reproducing kernel Hilbert space, subject to a norm constraint. The scheme is illustrated with two particular reproducing kernel Hilbert spaces: the Arveson space and the Bergman space, where the general theorem leads to convenient parametrizations of the solution sets. Reviewer: Paşc Găvruţă (Timişoara) Cited in 3 Documents MSC: 46E22 Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) 41A05 Interpolation in approximation theory 47A57 Linear operator methods in interpolation, moment and extension problems 30E99 Miscellaneous topics of analysis in the complex plane Keywords:reproducing kernel Hilbert spaces; interpolation; multipliers; Arveson space; Bergman space PDFBibTeX XMLCite \textit{V. Bolotnikov} and \textit{L. Rodman}, Houston J. Math. 30, No. 2, 559--576 (2004; Zbl 1067.46035)