Reproducing Kernel Spaces and Applications
By: edited by Daniel Alpay
Series: Operator Theory: Advances and Applications -- 143; Operator theory, advances and applications -- 143.
Publisher: Birkhäuser Basel
Published: 2003
Place of publication: Basel
Language: eng
Format: [electronic resource] /
Number of pages: 344
ISBN-13: 9783034880770
Subjects: Integral Transforms; Differential equations, partial; Functions of complex variables; Functional analysis; Mathematics; Operator theory
Description: 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.