Reproducing Kernel Spaces and Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Reproducing Kernel Spaces and Applications write by Daniel Alpay. This book was released on 2012-12-06. Reproducing Kernel Spaces and Applications available in PDF, EPUB and Kindle. 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.
Reproducing Kernel Spaces and Applications
Reproducing Kernel Spaces and Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Reproducing Kernel Spaces and Applications write by Daniel Alpay. This book was released on 2003-08-29. Reproducing Kernel Spaces and Applications available in PDF, EPUB and Kindle. 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.
An Introduction to the Theory of Reproducing Kernel Hilbert Spaces
An Introduction to the Theory of Reproducing Kernel Hilbert Spaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An Introduction to the Theory of Reproducing Kernel Hilbert Spaces write by Vern I. Paulsen. This book was released on 2016-04-11. An Introduction to the Theory of Reproducing Kernel Hilbert Spaces available in PDF, EPUB and Kindle. A unique introduction to reproducing kernel Hilbert spaces, covering the fundamental underlying theory as well as a range of applications.
Theory of Reproducing Kernels and Applications
Theory of Reproducing Kernels and Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Theory of Reproducing Kernels and Applications write by Saburou Saitoh. This book was released on 2016-10-27. Theory of Reproducing Kernels and Applications available in PDF, EPUB and Kindle. 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 1, many concrete reproducing kernels are first introduced with detailed information. Chapter 2 presents a general and global theory of reproducing kernels with basic applications in a self-contained way. Many fundamental operations among reproducing kernel Hilbert spaces are dealt with. Chapter 2 is the heart of this book.Chapter 3 is devoted to the Tikhonov regularization using the theory of reproducing kernels with applications to numerical and practical solutions of bounded linear operator equations.In Chapter 4, the numerical real inversion formulas of the Laplace transform are presented by applying the Tikhonov regularization, where the reproducing kernels play a key role in the results.Chapter 5 deals with ordinary differential equations; Chapter 6 includes many concrete results for various fundamental partial differential equations. In Chapter 7, typical integral equations are presented with discretization methods. These chapters are applications of the general theories of Chapter 3 with the purpose of practical and numerical constructions of the solutions.In Chapter 8, hot topics on reproducing kernels are presented; namely, norm inequalities, convolution inequalities, inversion of an arbitrary matrix, representations of inverse mappings, identifications of nonlinear systems, sampling theory, statistical learning theory and membership problems. Relationships among eigen-functions, initial value problems for linear partial differential equations, and reproducing kernels are also presented. Further, new fundamental results on generalized reproducing kernels, generalized delta functions, generalized reproducing kernel Hilbert spaces, andas well, a general integral transform theory are introduced.In three Appendices, the deep theory of Akira Yamada discussing the equality problems in nonlinear norm inequalities, Yamada's unified and generalized inequalities for Opial's inequalities and the concrete and explicit integral representation of the implicit functions are presented.
Reproducing Kernel Hilbert Spaces
Reproducing Kernel Hilbert Spaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Reproducing Kernel Hilbert Spaces write by Howard L. Weinert. This book was released on 1982. Reproducing Kernel Hilbert Spaces available in PDF, EPUB and Kindle.
