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Reproducing kernel Hilbert spaces

, 2011
Hinter der Konstruktion von Hilberträumen mit reproduzierendem Kern verbirgt sich eine Theorie von Bijektionen bzw. Transformationen, die einen positiv definiten Kern mit einem Hilbertraum von Funktionen verbindet. Das Ziel dieser Diplomarbeit ist es einen Überblick über die Theorie der Hilberträume mit reproduzierendem Kern und ihrer Anwendungen zu ...
Bartokos, Stephanie
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The reproducing Kernel of the Sobolev space on an interval

Proceedings of the American Mathematical Society, 2023
Let H n ( a ,
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Reproducing Kernel Quaternionic Pontryagin Spaces

Integral Equations and Operator Theory, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alpay, Daniel, Shapiro, Michael
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Sampling in Reproducing Kernel Banach Spaces

Mediterranean Journal of Mathematics, 2012
The focus of this paper is sampling in reproducing-kernel Banach spaces, where sampling is meant to be in the sense of the Whittaker-Shannon-Kotel'nikov sampling theorem which states that if a function \(f\) is band-limited to \( [-\sigma ,\sigma ]\), i.e., it is representable as \[ f(t)= \int_{-\sigma}^{\sigma} e^{-ixt}g(x)\,dx \qquad (t\in\mathbb R)\,
García, Antonio G., Portal, Alberto
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On Reproducing Kernel Hilbert Spaces of Polynomials

Mathematische Nachrichten, 1997
AbstractCertain Hilbert spaces of polynomials, called Szegö spaces [11], are studied. A transformation, called Hilbert traneformation, is constructed for every polynomial associatted with a Szegö space. An orthogonal set is found in a Szegö space which determines the norm of the space. A matrix factorization theory is obtained for defining polynomials.
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Reproducing Kernel Hilbert Spaces With Odd Kernels in Price Prediction

IEEE Transactions on Neural Networks and Learning Systems, 2012
For time series of futures contract prices, the expected price change is modeled conditional on past price changes. The proposed model takes the form of regression in a reproducing kernel Hilbert space with the constraint that the regression function must be odd.
Milos Krejnik, Anton Tyutin
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Reproducing kernel Hilbert spaces associated with kernels on topological spaces

Functional Analysis and Its Applications, 2012
We analyze reproducing kernel Hilbert spaces of positive definite kernels on a topological space X being either first countable or locally compact. The results include versions of Mercer’s theorem and theorems on the embedding of these spaces into spaces of continuous and square integrable functions.
J. C. Ferreira, V. A. Menegatto
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On Approximation By Reproducing Kernel Spaces in Weighted L p Spaces

Journal of Systems Science and Complexity, 2007
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Reproducing Kernels for Hyperbolic Spaces

2000
In this article we discuss the existence of a Poisson-Szego kernel for the Laplace-Beltrami equation associated to an n-dimensional hyperbolic space. This solution is obtained via the Dirac operator. We restrict the treatment to the class of spaces with the property that the conformal group preserving the metric also preserves a predefined circle.
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Data-Driven Optimization: A Reproducing Kernel Hilbert Space Approach

Operations Research, 2022
Dimitris Bertsimas, Nihal Koduri
exaly