Saitoh S., Sawano Y. Theory of Reproducing Kernels and Applications

Singapore: Springer, 2016. - 464 p.Definitions and Examples of Reproducing Kernel Hilbert Spaces
Fundamental Properties of RKHS
Moore Penrose Generalized Inverses and Tikhonov Regularization
Real Inversion Formulas of the Laplace Transform
Applications to Ordinary Differential Equations
Applications to Partial Differential Equations
Applications to Integral Equations
Special Topics on Reproducing Kernels