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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Bergman reproducing kernels for nearly holomorphic functions on bounded symmetric domains
伯格曼 有界对称域 近乎全纯函数 核
2023/4/17
Nearly holomorphic functions on symmetric domains are defined by Shimura as polynomial of differential of Kaehler potential with holomorphic coefficients. We find the corresponding Bergman reproducing...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars： Bergman reproducing kernels for nearly holomorphic functions on bounded symmetric domains
伯格曼 有界对称域 近乎全纯函数 核
2023/4/23
Nearly holomorphic functions on symmetric domains are defined by Shimura as polynomial of differential of Kaehler potential with holomorphic coefficients. We find the corresponding Bergman reproducing...
Solving Support Vector Machines in Reproducing Kernel Banach Spaces with Positive Definite Functions
support vector machine reproducing kernel Banach space reproducing kernel,posi-tive definite function Fourier transform,Sobolev space,Matern function,Sobolev spline
2012/11/22
In this paper we extend support vector machines from reproducing kernel Hilbert spaces into reproducing kernel Banach spaces whose reproducing kernels can be defined on nonsymmetric domains. Using the...
Balanced Reduction of Nonlinear Control Systems in Reproducing Kernel Hilbert Space
Nonlinear Control Systems Kernel Hilbert Space
2010/11/19
We introduce a novel data-driven order reduction method for nonlinear control systems, drawing on recent progress in machine learning and statistical dimensionality reduction. The method rests on the ...
Reproducing kernel method for solving systems of linear equations
Exact solution system of linear equations
2010/9/17
A new method for finding the exact solutions of systems of linear equations is presented. Advantage of this method is the simplicity of the procedure. There are no additional constraint conditions. Th...
A new method of solving singular multi-pantograph delay differential equation in reproducing kernel space
Exact solution singular two-point value boundary problem multipantograph
2010/9/13
In this paper, we present a new method for solving singular twopoint boundary value problem for multi-pantograph delay differential equation having singular coefficients. Its exact solution is represe...
In this paper, the Dirac operator on the Klein model for the hyperbolic space is considered. A function space containing $L_2$-functions on the sphere $S^{m-1}$ in $\mR^m$ which are boundary values of...