Results 271 to 280 of about 3,567 (302)

Reproducing Kernels and Finite Order Kernels

1991
Recent literature on density and regression function estimation has shown the interest of kernels of order s, i.e. kernels with (s-1) vanishing moments. We define here a multi-stage procedure to build estimates based on increasing order kernels and leading to a data-driven choice of both the order and the smoothing parameter. Some asymptotic as well as
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Approximation of the reproducing kernel

Journal of Soviet Mathematics, 1984
Translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 97, 195-198 (Russian) (1980; Zbl 0485.60036).
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Reproducing kernels and Riccati equations.

2001
Summary: The purpose of this paper is to exhibit a connection between the Hermitian solutions of matrix Riccati equations and a class of finite-dimensional reproducing kernel Krein spaces. This connection is then exploited to obtain minimal factorizations of rational matrix-valued functions that are \(J\)-unitary on the imaginary axis in a natural way.
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Theory of Reproducing Kernels

2003
In this survey article, we would like to show that the theory of reproducing kernels is fundamental, is beautiful and is applicable widely in mathematics. At the same time, we shall present some operator versions of our fundamental theory in the general theory of reproducing kernels, as original results.
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Riesz bases of normalized reproducing kernels in Fock type spaces

Analysis and Mathematical Physics, 2021
K P Isaev, R S Yulmukhametov, Isaev K P
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On a Sufficient Condition for the Existence of Unconditional Bases of Reproducing Kernels in Hilbert Spaces of Entire Functions

Lobachevskii Journal of Mathematics, 2021
K P Isaev, R S Yulmukhametov, Isaev K P
exaly  

Explicit formula for the reproducing kernels for some weighted Fock spaces

Journal of Mathematical Analysis and Applications, 2021
Hong Rae Cho, Han-Wool Lee
exaly  

On a criterion for the existence of unconditional bases of reproducing kernels in Fock spaces with radial regular weight

Journal of Mathematical Analysis and Applications, 2023
K P Isaev, R S Yulmukhametov
exaly  

On a sufficient condition for the existence of unconditional bases of reproducing kernels in Fock type spaces with nonradial weights

Analysis and Mathematical Physics, 2023
K P Isaev, R S Yulmukhametov, Isaev K P
exaly  

An Integral Formula for Weighted Bergman Reproducing Kernels

Complex Variables and Elliptic Equations, 2002
Serguei Shimorin
exaly