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Sampling in Reproducing Kernel Banach Spaces
Mediterranean Journal of Mathematics, 2012The 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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Reproducing kernel Hilbert spaces
2011Hinter 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 ...
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On Reproducing Kernel Hilbert Spaces of Polynomials
Mathematische Nachrichten, 1997AbstractCertain 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 Kernels for Hyperbolic Spaces
2000In 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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Pasting Reproducing Kernel Hilbert Spaces
2017The aim of this article is to find the necessary and sufficient condition for the mapping $$\displaystyle{H_{K}(E) \ni f\mapsto (\,f\vert E_{1},f\vert E_{2}) \in H_{K\vert E_{1}\times E_{2}}(E_{1}) \oplus H_{K\vert E_{2}\times E_{2}}(E_{2})}$$ to be isomorphic, where K is a positive definite function on E = E1 + E2.
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Data-Driven Optimization: A Reproducing Kernel Hilbert Space Approach
Operations Research, 2022Dimitris J Bertsimas
exaly
Kernels and Reproducing Kernel Hilbert Spaces
2008Ingo Steinwart, Andreas Christmann
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Rainfall-runoff modeling through regression in the reproducing kernel Hilbert space algorithm
Journal of Hydrology, 2020Mir Jafar Sadegh Safari +2 more
exaly