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An Introduction to the Theory of Reproducing Kernel Hilbert Spaces

Reproducing kernel Hilbert spaces have developed into an important tool in many areas, especially statistics and machine learning, and they;

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Kernel Adaptive Filtering

The first book to explain real-time learning algorithms in reproducing kernel Hilbert spaces, On-Line Kernel Learning includes simulations;

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Generalized Mercer Kernels and Reproducing Kernel Banach Spaces

kernel Hilbert spaces (RKHSs). A key point is to endow Banach spaces with reproducing kernels such that machine learning in RKBSs can be well;

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Nonlinear Numerical Analysis in Reproducing Kernel Space

to the readers engaged in mathematical application these solutions, especially the constructing theory of the reproducing kernel space that;

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Hilbert Space Methods in Signal Processing

This lively and accessible book describes the theory and applications of Hilbert spaces and also presents the history of the subject to;

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Theory of Reproducing Kernels and Applications

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;

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Reproducing Kernel Hilbert Spaces in Probability and Statistics

theorems, learning theory and some applications at the fringe between Statistics and Approximation Theory. It is geared to graduate students;

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J-Contractive Matrix Valued Functions and Related Topics

associated pairs of inner matrix valued functions and reproducing kernel Hilbert spaces. Special attention is paid to the subclasses of regular and;

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Complex Analysis

of holomorphic functions, the Bergman kernel, and unbounded operators on Hilbert spaces to tackle the theory of several variables, in particular the;

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Bitangential Direct and Inverse Problems for Systems of Integral and Differential Equations

scattering matrix. The corresponding direct problems are also treated. The book incorporates introductions to the theory of matrix valued entire;

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The Dirichlet Space and Related Function Spaces

complex variables and the corona problem. The first part of this book is an introduction to the function theory and operator theory of the;

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Digital Nets and Sequences

in the sense of Niederreiter are known to be excellent candidates. Besides the classical theory, the book contains chapters on reproducing kernel;

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Kernel Mean Embedding of Distributions

and statistical inference. The basic idea behind this framework is to map distributions into a reproducing kernel Hilbert space (RKHS;

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Recent Advances in Operator Theory

functions to scattering of waves. All papers deal with operators in Banach or Hilbert spaces, or in spaces with an indefinite metric. This volume;

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Analytic Hilbert Modules

, rigidity, the equivalence problem, the Arveson modules, extension theory, and reproducing Hilbert spaces on n-dimensional complex space.;

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Schur Functions, Operator Colligations, and Reproducing Kernel Pontryagin Spaces

colligations whose state spaces are reproduced kernal Pontryagin spaces. This provides a modern system theory setting for the relationship between;

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A Primer on Hilbert Space Theory

This book is an introduction to the theory of Hilbert space, a fundamental tool for non-relativistic quantum mechanics. Linear, topological;

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Introduction to Hilbert Spaces with Applications

Building on the success of the two previous editions, Introduction to Hilbert Spaces with Applications, Third Edition, offers an overview;

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Functional Analysis

graph theorem, the Hahn-Banach theorem, adjoint operators, weak topologies and reflexivity, operators in Hilbert spaces, spectral theory;

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An Introduction to Hilbert Space

This textbook is an introduction to the theory of Hilbert space and its applications. The notion of Hilbert space is central in functional;

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Functional Analysis

spaces. This requires that we develop the theory of dual operators between Banach spaces to replace the use of adjoint operators between Hilbert;

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Boundary Value Problems Weyl Functions and Differential Operators

operators, and functional analytic models for reproducing kernel Hilbert spaces. Further, it illustrates these abstract methods for various;

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An Illustrative Introduction to Modern Analysis

Aimed primarily at undergraduate level university students, An Illustrative Introduction to Modern Analysis provides an accessible and;

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An Illustrative Introduction to Modern Analysis

Aimed primarily at undergraduate level university students, An Illustrative Introduction to Modern Analysis provides an accessible and;

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A Primer on Hilbert Space Theory

This book offers an essential introduction to the theory of Hilbert space, a fundamental tool for non-relativistic quantum mechanics;

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Spline Models for Observational Data

This book serves well as an introduction into the more theoretical aspects of the use of spline models. It develops a theory and practice;

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Linear Inverse Problems and Tikhonov Regularization

of Hilbert space theory and a brief introduction to weak derivatives and Sobolev spaces. Intended as an expository work for those interested;

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