The general theories contained in the text will give rise to new ideas and methods for the natural inversion formulas for general linear mappings in the framewo

The First International Congress of the International Society for Analysis, its Applications and Computations (ISAAC'97) was held at the University of Delaware

The notions of positive functions and of reproducing kernel Hilbert spaces play an important role in various fields of mathematics, such as stochastic processes

This book provides a large extension of the general theory of reproducing kernels published by N. Aronszajn in 1950, with many concrete applications.In Chapter

"Volume includes English translation of ten expository articles published in the Japanese journal Sugaku."