Title: Sampling Theorem in A Reproducing Kernel Hilbert Space
Abstract: In this paper,a sampling expansion formula which bases are defined as reproducing kernel function is given by using some special properties of reproducing kernel functions in the Hilbert space at first,then a sampling formula of reproducing kernel function in Hilbert space are derived by using reproducing kernel functions.Meanwhile estimation of error is given.The results play a fundamental role in the problem of numerical approximation and it also convenient to numerical calculations.
Publication Year: 2008
Publication Date: 2008-01-01
Language: en
Type: article
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