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Reproducing Kernel Quaternionic Pontryagin Spaces
Integral Equations and Operator Theory, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alpay, Daniel, Shapiro, Michael
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On Reproducing Kernel Banach Spaces: Generic Definitions and Unified Framework of Constructions
Acta Mathematica Sinica. English series, 2019Recently, there has been emerging interest in constructing reproducing kernel Banach spaces (RKBS) for applied and theoretical purposes such as machine learning, sampling reconstruction, sparse approximation and functional analysis.
Rongrong Lin, Haizhang Zhang, Jun Zhang
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The Reproducing Kernel Method. II
Journal of Mathematical Physics, 1972The explicit solution of the Cauchy problem ∂N/∂t = HN by means of reproducing kernels is obtained under various forms: conformal mapping expansions, Sheffer polynomial expansion, polynomials orthogonal on a family of curves; the convergence is studied for both Szegö and Bergman kernels.
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On some problems for operators on the reproducing kernel Hilbert space
Linear and multilinear algebra, 2019In this study, some problems of operator theory on the reproducing kernel Hilbert space by using the Berezin symbols method are investigated. Namely, invariant subspaces of weighted composition operators on are studied.
M. Garayev +3 more
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The dimension splitting reproducing kernel particle method for three‐dimensional potential problems
International Journal for Numerical Methods in Engineering, 2019In this paper, the dimension splitting reproducing kernel particle method (DSRKPM) for three‐dimensional (3D) potential problems is presented. In the DSRKPM, a 3D potential problem can be transformed into a series of two‐dimensional (2D) ones in the ...
P. Peng, Q. Wu, Y.M. Cheng
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Eigendecompositions of Transfer Operators in Reproducing Kernel Hilbert Spaces
Journal of nonlinear science, 2017Transfer operators such as the Perron–Frobenius or Koopman operator play an important role in the global analysis of complex dynamical systems. The eigenfunctions of these operators can be used to detect metastable sets, to project the dynamics onto the ...
Stefan Klus +2 more
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Sparse online kernelized actor-critic Learning in reproducing kernel Hilbert space
Artificial Intelligence Review, 2021Yongliang Yang +5 more
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Reproducing Kernels and Discretization
2015We give a short survey of a general discretization method based on the theory of reproducing kernels. We believe our method will become the next generation method for solving analytical problems by computers. For example, for solving linear PDEs with general boundary or initial value conditions, independently of the domains.
Castro, L. P. +4 more
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Reproducing kernel functions based univariate spline interpolation
Applied Mathematics Letters, 2021F. Geng, Xinyuan Wu
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