W^22（D）空间函数的近似再生

THE APPROXIMATE REPRODUCTION OF FUNCTION IN SPACE W_2￣2(D)W_2￣2(D)

本文介绍一个具有再生核的函数Ｈｉｌｂｅｒｔ空间Ｗ＾２２（Ｄ）并给出了该空间再生核函数表达式。利用它构造Ｗ＾２２（Ｄ）空间上函数ｕ（Ｍ）的近似再生函数ｕｎ（Ｍ），随着再生核函数项数ｎ的增加，近似再生函数的误差在Ｗ＾２２（Ｄ）空间范数意义下单调下降且趋于零。

In this paper,We introduce one function Hilbert space W￣2_2(D) with reproducing kernel,and the regenerate kernel function in that space is given,We use it ot construct theapproximate reproducing function un(M) in the space W￣2_2(D).The error for proximatereproducing function is decreased and converged to Zero as the repreducing funtion term number n increases.