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Reproducing kernel functions in weighted Fock spaces

Annals of Functional Analysis
Zhangjian Hu, Xiaofen Lv, Alexander P. Schuster   +2 more
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Reproducing kernel functions based univariate spline interpolation

Applied Mathematics Letters, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fazhan Geng
exaly   +2 more sources

Reproducing kernel function-based formulation for highly oscillatory integrals

Journal of Computational and Applied Mathematics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sakhi Zaman
exaly   +4 more sources

Regularization in a functional reproducing kernel Hilbert space

Journal of Complexity, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rui Wang 0096, Yuesheng Xu
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Quasi-convex reproducing kernel meshfree method

Computational Mechanics, 2014
A quasi-convex reproducing kernel approximation is presented for Galerkin meshfree analysis. In the proposed meshfree scheme, the monomial reproducing conditions are relaxed to maximizing the positivity of the meshfree shape functions and the resulting ...
Dongdong Wang
exaly   +1 more source

Reproducing Kernels and Interpolation of Holomorphic Functions

1986
Abstract The problem of characterizing restrictions to small sets of holomorphic functions satisfying certain norm estimates, is studied from the point of view of functional Hilbert spaces and reproducing kernels. Characterizations are obtained for boundary value distributions of various Hilbert spaces of holomorphic functions along certain thin ...
Frank Beatrous, Jacob Burbea
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Reproducing kernels for Generalized Hilbert Function Spaces

Applicable Analysis, 1977
(1977). Reproducing kernels for Generalized Hilbert Function Spaces. Applicable Analysis: Vol. 6, No. 2, pp. 159-161.
R. P. Gilbert, G. N. Hile
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The Functions of a Reproducing Kernel Hilbert Space

2015
The functions of an RKHS, that is, the signals one works with, may not be easy to handle per se. In those cases, it may sometimes be useful to know that they belong to spaces in which computation may be easier, such as L2 spaces. This chapter deals with such questions.
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Reproducing Kernels and Extremal Functions in Dirichlet-Type Spaces

Journal of Mathematical Sciences, 2001
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Reproducing Kernel Functions for Sard Spaces of Type B

SIAM Journal on Numerical Analysis, 1974
Optimal approximation in Hilbert spaces can be found if the space has a reproducing kernel function and if this kernel can be obtained in closed form. This paper contains the reproducing kernel function for the general Sard spaces of the type B. A numerical illustration of optimal approximation for a “nonstandard” Hilbert space is given.
Barnhill, Robert E., Nielson, Gregory M.
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