A Solution of an Infinite System of Quadratic Equations in Reproducing Kernel Space |
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| Authors: | Yinzhen Lin Philung Chung Minggen Cui |
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| Institution: | (1) Department of Mathematics, Harbin Institute of Technology at Wei Hai, Wei Hai Shan Dong, 264209, China (P.R.);(2) Department of Mathematics, Kangwon National University, Chunchon, Kangwon, 200701, Korea |
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| Abstract: | 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.
Submitted: March 10, 2007. Revised: March 16, 2007. Accepted: April 10, 2007. |
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| Keywords: | Primary 34A34 |
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