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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...
FAST DIRECTIONAL MULTILEVEL ALGORITHMS FOR OSCILLATORY KERNELS
N-body problems scattering problems Helmholtz equation oscillatory kernels fast multipole methods separated representations random sampling operator compression multidirectional computation multiscale methods
2015/7/14
This paper introduces a new directional multilevel algorithm for solving N-body orN-point problems with highly oscillatory kernels. These systems often result from the boundary integral formulations o...
Markov property of determinantal processes with extended sine, Airy, and Bessel kernels
Determinantal processes Correlation kernels Random matrix theory Infinite particle systems Markov property Entire function and topology
2011/7/7
When the number of particles is finite, the noncolliding Brownian motion (the Dyson model) and the noncolliding squared Bessel process are determinantal diffusion processes for any deterministic initi...
Polyharmonic and Related Kernels on Manifolds: Interpolation and Approximation
manifold positive definite kernels least squares approximation Sobolev spaces
2011/2/24
This article is devoted to developing a theory for effective kernel interpolation and approximation in a general setting.