Results 211 to 220 of about 3,282,070 (234)

Reproducing Kernels for Hilbert Spaces of Real Harmonic Functions

SIAM Journal on Mathematical Analysis, 2009
This paper introduces a family of Hilbert spaces of real harmonic functions on bounded regions in $\mathbb{R}^n$ and shows that, for a range of values of s, they are reproducing kernel Hilbert spaces. The spaces are characterized by their boundary traces, and the inner products are defined via their expansions in the harmonic Steklov eigenfunctions of ...
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Generalized Reproducing Kernels and Generalized Delta Functions

2017
In this paper, we shall state a simple and general meaning for reproducing kernels. We would like to answer a general and essential question that: what are reproducing kernels? By considering this basic problem, we were able to obtain a general concept of the generalized delta function as a generalized reproducing kernel and, as a general reproducing ...
S. Saitoh, Y. Sawano
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On Hilbert Spaces of Entire Functions with Unconditional Bases of Reproducing Kernels

Lobachevskii Journal of Mathematics, 2019
Suppose that \(X\) is a Banach space of functions where the linear span of all exponential functions \(\{e^{\lambda z}: \lambda\in\mathbb{C}\}\) is dense, then the Fourier-Laplace transform \[S\mapsto \widehat{S}(\lambda) = S(e^{\lambda z}),\quad S\in X^{*},\] maps the dual space \(X^{*}\) bijectively to a certain space \(\widehat{X}\) of functions on \
Isaev, K. P., Yulmukhametov, R. S.
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Positive Definite Functions and Kernels, and Reproducing Kernel Hilbert Spaces

2015
Positive definite kernels (and the associated reproducing kernel Hilbert spaces) play an important role in various fields in mathematics, and Dieudonne’s judgment is very harsh, and somewhat unjustified. Besides representation theory and harmonic analysis, they appear in function theory (the kernel function associated with a domain), in stochastic ...
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A Reproducing Kernel Hilbert Space Framework for Functional Classification

Journal of Computational and Graphical Statistics, 2022
Peijun Sang, Adam B. Kashlak, Linglong Kong   +2 more
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Reproducing Kernels and Radon-Type Transforms of Monogenic Functions

The Journal of Geometric Analysis
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Hilbert function modules with reproducing kernels

Nonlinear Analysis: Theory, Methods & Applications, 1977
Gilbert, R. P., Hile, G. N.
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Hilbert function spaces and reproducing kernels

2009
Ward Cheney, Will Light
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New collocation approaches based on reproducing kernel functions for second order nonlinear boundary value problems

Applied Mathematics Letters, 2023
exaly  

The Mittag Leffler reproducing kernel Hilbert spaces of entire and analytic functions

Journal of Mathematical Analysis and Applications, 2018
Warren E Dixon, Joel Rosenfeld, Benjamin Russo   +2 more
exaly