Results 31 to 40 of about 63,696 (324)

Favard theorem for reproducing kernels

open access: yesJournal of Computational and Applied Mathematics, 1995
Consider for \(n = 0, 1, \dots\) the nested spaces \({\mathcal L}_n\) of rational functions of degree \(n\) at most with given poles \(1/ \overline \alpha_i\), \(|\alpha_i |< 1\), \(i = 1, \dots, n\). Let \({\mathcal L} = \cup^\infty_0 {\mathcal L}_n\). Given a finite positive measure \(\mu\) on the unit circle, we associate with it an inner product on
Bultheel, Adhemar   +3 more
openaire   +6 more sources

Some Hilbert spaces related with the Dirichlet space

open access: yesConcrete Operators, 2016
We study the reproducing kernel Hilbert space with kernel kd , where d is a positive integer and k is the reproducing kernel of the analytic Dirichlet space.
Arcozzi Nicola   +4 more
doaj   +1 more source

On solutions of fractional order time varying linear dynamical systems model

open access: yesArab 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
doaj   +1 more source

Total positivity and reproducing kernels [PDF]

open access: yesPacific Journal of Mathematics, 1974
In this paper we investigate the relationship between total positivity and reproducing kernels. We extend the notion of total positivity to domains in the complex plane. In doing so, we also give a geometrical interpretation to certain Wronskians of reproducing kernels. These geometrical quantities are connected to Gaussian curvatures of Kahler metrics
openaire   +3 more sources

Numerical Solutions of the Second-Order One-Dimensional Telegraph Equation Based on Reproducing Kernel Hilbert Space Method

open access: yesAbstract and Applied Analysis, 2013
We investigate the effectiveness of reproducing kernel method (RKM) in solving partial differential equations. We propose a reproducing kernel method for solving the telegraph equation with initial and boundary conditions based on reproducing kernel ...
Mustafa Inc   +2 more
doaj   +1 more source

Sampling and Reconstruction of Signals in a Reproducing Kernel Subspace of $L^p({\Bbb R}^d)$

open access: yes, 2009
In this paper, we consider sampling and reconstruction of signals in a reproducing kernel subspace of $L^p(\Rd), 1\le p\le \infty$, associated with an idempotent integral operator whose kernel has certain off-diagonal decay and regularity.
Nashed, M. Zuhair, Sun, Qiyu
core   +1 more source

The kaehlerian structures and reproducing kernels [PDF]

open access: yesAnnales Polonici Mathematici, 1991
Summary: It is shown that one can define a Hilbert space structure over a Kählerian manifold with global potential in a natural way.
Tomasz Mazur, Anna Krok
openaire   +3 more sources

Reproducing kernel Hilbert space method for the solutions of generalized Kuramoto–Sivashinsky equation

open access: yesJournal of Taibah University for Science, 2019
Reproducing kernel Hilbert space method is given for the solution of generalized Kuramoto–Sivashinsky equation. Reproducing kernel functions are obtained to get the solution of the generalized Kuramoto–Sivashinsky equation.
Ali Akgül, Ebenezer Bonyah
doaj   +1 more source

Solving Support Vector Machines in Reproducing Kernel Banach Spaces with Positive Definite Functions

open access: yes, 2013
In this paper we solve support vector machines in reproducing kernel Banach spaces with reproducing kernels defined on nonsymmetric domains instead of the traditional methods in reproducing kernel Hilbert spaces.
Adams   +32 more
core   +1 more source

On reproducing kernels and quantization of states [PDF]

open access: yesCommunications in Mathematical Physics, 1988
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +4 more sources

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