COMPUTING REPRODUCING KERNELS FOR Wm2[a,b](Ⅰ)
$W^m_2 [a,b]$ 空间中再生核的计算(Ⅰ)

In this paper, the adjunct and Green functions are used to develop a concrete method for computing the reproducing kernels for arbitrary linear differential operators. The basic Green function and the basic reproducing kernel are defined, make use of these, we prove that the problem of computing the basic kernel can be decomposed into some simpler initial value problems and a general reproducing kernel is the projection of the basic kernel.