Results 11 to 20 of about 3,893 (298)
Reproducing kernel Hilbert spaces of polyanalytic functions of infinite order [PDF]
Integral Equations and Operator Theory, 2021 In this paper we introduce reproducing kernel Hilbert spaces of polyanalytic functions of infinite order. First we study in details the counterpart of the Fock space and related results in this framework. In this case the kernel function is given by $\displaystyle e^{z\overline{w}+\overline{z}w}$ which can be connected to kernels of polyanalytic Fock ...
Daniel Alpay +3 more
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Distance Functions for Reproducing Kernel Hilbert Spaces [PDF]
, 2010 v1: 29 ...
Nicola Arcozzi +3 more
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Approximating Reproducing Kernel Hilbert Space Functions by Bernstein Operators
Results in MathematicsAbstractMotivated by kernel methods in machine learning theory, we study the uniform approximation of functions from reproducing kernel Hilbert spaces by Bernstein operators. Rates of approximation are provided in terms of the function norm in the reproducing kernel Hilbert space.
Feng Han, Sonia Y. W. Hui, Ruohan Shen
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Reproducing kernel‐based functional linear expectile regression
Canadian Journal of Statistics, 2021 Expectile regression is a useful alternative to conditional mean and quantile regression for characterizing a conditional response distribution, especially when the distribution is asymmetric or when its tails are of interest. In this article, we propose a class of scalar‐on‐function linear expectile regression models where the functional slope ...
Meichen Liu +5 more
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On solutions of fractional order time varying linear dynamical systems model
Arab Journal of Basic and Applied Sciences, 2021 In this paper, the linear and nonlinear fractional order time varying linear dynamical systems model has been studied. The homotopy perturbation method is used to find the approximation solution.
Mahmut Modanli, Ali Akgül
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Reproducing Kernel Hilbert Spaces of Smooth Fractal Interpolation Functions
Fractal and Fractional, 2023 The theory of reproducing kernel Hilbert spaces (RKHSs) has been developed into a powerful tool in mathematics and has lots of applications in many fields, especially in kernel machine learning.
Dah-Chin Luor, Liang-Yu Hsieh
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Проблемы анализа, 2021 We consider a reproducing kernel radial Hilbert space of entire functions and prove the equivalence of several sufficient conditions for the existence of unconditional bases of reproducing kernels in such spaces.
K. P. Isaev, R. S. Yulmukhametov
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Reproducing kernel functions for difference equations
Discrete & Continuous Dynamical Systems - S, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Akgul, Ali, Inc, Mustafa, Karatas, Esra
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On functional reproducing kernels
Open Mathematics, 2023 Abstract We show that even if a Hilbert space does not admit a reproducing kernel, there could still be a kernel function that realizes the Riesz representation map. Constructions in spaces that are the Fourier transform of weighted
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