A Reproducing Kernel Hilbert Space Which Let {e_i}_i~n=1 Be an Orthonormal Basis

A reproducing kernel Hilbert space is first of all a Hilbert space.RKHS method provides powerful mathematical tools,and kernel of the space has nice properties,we could use these properties to describe the whole Hilbert space.In this thesis,the main problem investigated is the relationship between Hilbert spaceH which {ei}ni=1 let be an orthonormal basis and the kernel by making use of the properties of the kernel of H.