Results 31 to 40 of about 4,426,974 (292)

Solving a System of Linear Volterra Integral Equations Using the Modified Reproducing Kernel Method

open access: yesAbstract and Applied Analysis, 2013
A numerical technique based on reproducing kernel methods for the exact solution of linear Volterra integral equations system of the second kind is given.
Li-Hong Yang   +2 more
doaj   +1 more source

Reproducing kernel method for solving wiener-hopf equations of the second kind [PDF]

open access: yesJournal of Hyperstructures, 2016
This paper proposed a reproducing kernel method for solving Wiener-Hopf equations of the second kind. In order to eliminate the singularity of the equation, a transform is used.
Azizallah Alvandi   +2 more
doaj   +1 more source

Inner Functions in Reproducing Kernel Spaces [PDF]

open access: yes, 2019
In this paper we explore the notion of inner function in a broader context of operator theory.
Cheng, Raymond   +2 more
openaire   +2 more sources

ON THE INCLUSION RELATION OF REPRODUCING KERNEL HILBERT SPACES [PDF]

open access: yesAnalysis and Applications, 2013
To help understand various reproducing kernels used in applied sciences, we investigate the inclusion relation of two reproducing kernel Hilbert spaces. Characterizations in terms of feature maps of the corresponding reproducing kernels are established.
Haizhang Zhang, Liang Zhao
openaire   +2 more sources

Approximate Solutions to Three-Point Boundary Value Problems with Two-Space Integral Condition for Parabolic Equations

open access: yesAbstract and Applied Analysis, 2012
We construct a novel reproducing kernel space and give the expression of reproducing kernel skillfully. Based on the orthogonal basis of the reproducing kernel space, an efficient algorithm is provided firstly to solve a three-point boundary value ...
Jing Niu, Yingzhen Lin, Minggen Cui
doaj   +1 more source

Reproducing Kernels and Variable Bandwidth

open access: yesJournal of Function Spaces and Applications, 2012
We show that a modulation space of type () is a reproducing kernel Hilbert space (RKHS). In particular, we explore the special cases of variable bandwidth spaces Aceska and Feichtinger (2011) with a suitably chosen weight to provide strong enough decay ...
R. Aceska, H. G. Feichtinger
doaj   +1 more source

Weighted reproducing kernels in Bergman spaces.

open access: yesMichigan Mathematical Journal, 1994
A major inspiration for this paper is the factorization theory developed by \textit{H. Hedenmalm} [J. Reine Angew. Math. 422, 45-68 (1991; Zbl 0734.30040)] for the standard Bergman space \(A^2\), and later generalized to the Bergman space \(A^2\) by \textit{P. Duren}, \textit{D. Khavinson}, \textit{H. S. Shapiro} and \textit{C. Sundberg} [Pac. J. Math.
MacGregor, T. H., Stessin, M. I.
openaire   +2 more sources

Using String Kernels to Identify Famous Performers from their Playing Style

open access: yes, 2004
In this paper we show a novel application of string kernels: that is to the problem of recognising famous pianists from their style of playing. The characteristics of performers playing the same piece are obtained from changes in beat-level tempo and ...
David R. Hardoon   +7 more
core   +2 more sources

Locally linear approximation for Kernel methods : the Railway Kernel [PDF]

open access: yes, 2008
In this paper we present a new kernel, the Railway Kernel, that works properly for general (nonlinear) classification problems, with the interesting property that acts locally as a linear kernel.
González, Javier, Muñoz, Alberto
core   +1 more source

Generalized Jacobi reproducing kernel method in Hilbert spaces for solving the Black-Scholes option pricing problem arising in financial modelling

open access: yesMathematical Modelling and Analysis, 2018
Based on the reproducing kernel Hilbert space method, a new approach is proposed to approximate the solution of the Black-Scholes equation with Dirichlet boundary conditions and introduce the reproducing kernel properties in which the initial conditions ...
Mohammadreza Foroutan   +2 more
doaj   +1 more source

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