Results 221 to 230 of about 2,042 (241)

ANALYTIC TRIDIAGONAL REPRODUCING KERNELS

Journal of the London Mathematical Society, 2001
The paper characterizes the reproducing kernel Hilbert spaces with orthonormal bases of the form {(an,0+an,1z+…+an,JzJ)zn, n [ges ] 0}. The primary focus is on the tridiagonal case where J = 1, and on how it compares with the diagonal case where J = 0. The question of when multiplication by z is a bounded operator is investigated, and aspects of
Adams, Gregory T., McGuire, Paul J.
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Reproducing Kernel Quaternionic Pontryagin Spaces

Integral Equations and Operator Theory, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alpay, Daniel, Shapiro, Michael
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The Reproducing Kernel Method. II

Journal of Mathematical Physics, 1972
The 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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Reproducing Kernels and Discretization

2015
We 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., Fujiwara, H., Rodrigues, M. M., Saitoh, S., Tuan, V. K.   +4 more
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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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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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Reproducing kernel Hilbert spaces

2011
Hinter der Konstruktion von Hilberträumen mit reproduzierendem Kern verbirgt sich eine Theorie von Bijektionen bzw. Transformationen, die einen positiv definiten Kern mit einem Hilbertraum von Funktionen verbindet. Das Ziel dieser Diplomarbeit ist es einen Überblick über die Theorie der Hilberträume mit reproduzierendem Kern und ihrer Anwendungen zu ...
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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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Reproducing Kernel Hilbert Spaces

2022
Lucas Valentin Umann, Wolfgang Karl Härdle   +1 more
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Reproducing Kernels

1974
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