Nonlinear Numerical Analysis in Reproducing Kernel Space

Although the application of reproducing kernel has been explored in different fields in the past twenty to thirty years and the relevant researches are active in the recent five years, there is still not a book on the application of reproducing kernel. This book attempts to introduce solutions to readers engaged in this mathematical application, especially the constructing theory of the reproducing kernel space that the authors originally created and gradually improved. Reproducing kernel space is a special Hilbert space. The authors have been engaged in the constructing theory research of the reproducing kernel space since 1980s, and worked out a series of specific structural methods for reproducing kernel space and reproducing kernel functions.