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Theory of Reproducing Kernels and Applications

, identifications of nonlinear systems, sampling theory, statistical learning theory and membership problems. Relationships among eigen-functions, initial;

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Generalized Mercer Kernels and Reproducing Kernel Banach Spaces

-posed and of easy implementation. First the authors verify many advanced properties of the general RKBSs such as density, continuity;

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An Introduction to the Theory of Reproducing Kernel Hilbert Spaces

play a valuable role in complex analysis, probability, group representation theory, and the theory of integral operators. This unique text;

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Integral Transforms, Reproducing Kernels and Their Applications

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

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Integral Transforms, Reproducing Kernels and Their Applications

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

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Complex Analysis and Related Topics

theory and hypercomplex analysis. Articles cover subjects such as the Schrodinger equation, subelliptic operators, Lie algebras and superalgebras;

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Current Trends in Analysis and Its Applications

Models - Differential and Difference Equations - Toeplitz Operators - Wavelet Theory - Topological and Geometrical Methods;

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Schur Functions, Operator Colligations, and Reproducing Kernel Pontryagin Spaces

of negative squares. This book develops the realization theory of such functions as characteristic functions of coisometric, isometric, and unitary;

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Parallel Algorithms in Computational Science and Engineering

any given application, ensuring that theory and practicality are clearly connected. Applications using these techniques are illustrated;

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Heat Kernels And Spectral Theory

An advanced monograph on a central topic in the theory of differential equations, Heat Kernels and Spectral Theory investigates the theory;

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Half-discrete Hilbert-type Inequalities

homogeneous kernels of degree-one were considered. Since then, the theory of Hilbert-type discrete and integral inequalities is almost built by Prof;

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Bergman Spaces

problems once considered intractable were solved, and a rich theory emerged. Although progress continues, the time seems ripe for a full and;

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Nonlinear Numerical Analysis in Reproducing Kernel Space

in the constructing theory research of the reproducing kernel space since 1980's, and worked out a series of specific structural methods for;

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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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Cambridge Tracts in Mathematics

of applicability of the theory. Special attention is paid to the singular functions of non-symmetric kernels and to obtaining as strong results as possible;

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Graph Kernels

perform predictions in both classification and regression settings.This monograph provides a review of existing graph kernels, their applications;

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Primer On The Dirichlet Space

beautiful theory, yet at the same time remains a source of challenging open problems and a subject of active mathematical research. This book is the;

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The Convolution Transform

undergraduates and graduate students. It may be read easily by anyone with a working knowledge of real and complex variable theory. Topics include the;

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Singular Integrals and Fourier Theory on Lipschitz Boundaries

The main purpose of this book is to provide a detailed and comprehensive survey of the theory of singular integrals and Fourier multipliers;

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Singular Integrals and Fourier Theory on Lipschitz Boundaries

The main purpose of this book is to provide a detailed and comprehensive survey of the theory of singular integrals and Fourier multipliers;

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The Dirichlet Space and Related Function Spaces

The study of the classical Dirichlet space is one of the central topics on the intersection of the theory of holomorphic functions and;

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Advances in Dual Integral Equations

Legendre functions and mixed kernels involving Bessel functions. Researchers in the theory of elasticity, fluid dynamics, and mathematical physics;

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Evolutionary Integral Equations and Applications

of the theory including detailed proofs and its applications to problems from mathematical physics, such as viscoelasticity, heat conduction, and;

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Smooth Homogeneous Structures in Operator Theory

Geometric ideas and techniques play an important role in operator theory and the theory of operator algebras. Smooth Homogeneous Structures;

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Smooth Homogeneous Structures in Operator Theory

Geometric ideas and techniques play an important role in operator theory and the theory of operator algebras. Smooth Homogeneous Structures;

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Recent Trends in Operator Theory and Applications

This volume contains the proceedings of the workshop on Recent Trends in Operator Theory and Applications (RTOTA 2018), held from May 3-5;

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Kernel Adaptive Filtering

Reproducing kernel Hilbert spaces is a topic of great current interest for applications in signal processing, communications, and controls;

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