Lin, Yinzhen; Chung, Philung; Cui, Minggen A solution of an infinite system of quadratic equations in reproducing kernel space. (English) Zbl 1136.46024 Complex Anal. Oper. Theory 1, No. 4, 571-579 (2007). Summary: We introduce several operators in certain reproducing kernel Hilbert spaces, and we use them in the solution of a general family of quadratic equations in an infinite number of variables. We further describe an approximation scheme with quadratic polynomials for solving these equations. Cited in 4 Documents MSC: 46E22 Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) 46N20 Applications of functional analysis to differential and integral equations Keywords:infinite system of quadratic equations; reproducing kernel space; adjoint operator PDFBibTeX XMLCite \textit{Y. Lin} et al., Complex Anal. Oper. Theory 1, No. 4, 571--579 (2007; Zbl 1136.46024) Full Text: DOI