The notions of positive functions and of reproducing kernel
Hilbert spaces play an important role in various fields of
mathematics, such as stochastic processes, linear systems theory,
operator theory, and the theory of analytic functions. Also they
are relevant for many applications, for example to statistical
learning theory and pattern recognition.
The present volume contains a selection of papers which deal with
different aspects of reproducing kernel Hilbert spaces. Topics
considered include one complex variable theory, differential
operators, the theory of self-similar systems, several complex
variables, and the non-commutative case.
The book is of interest to a wide audience of pure and applied
mathematicians, electrical engineers and theoretical
physicists.
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