Results 11 to 20 of about 2,581 (224)
Reproducing Kernel Hilbert Space vs. Frame Estimates
Mathematics, 2015 We consider conditions on a given system F of vectors in Hilbert space H, forming a frame, which turn H into a reproducing kernel Hilbert space. It is assumed that the vectors in F are functions on some set Ω .
Palle E. T. Jorgensen, Myung-Sin Song
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A Characterization for reproducing kernel Hilbert spaces
Journal of Mathematical Analysis and Applications, 1974 AbstractLet G(t, s) be the Green's functions associated with N, a differential operator restricted to certain boundary conditions. Define (u, v)N = (Nu, v)L2. It is shown that the reproducing kernel Hilbert space generated by G is the same as the Hilbert-space completion with respect to ∥ · ∥N of the set of real valued functions which are in C2n and ...
Grethel, Robert J.
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A Theorem on Reproducing Kernel Hilbert Spaces of Pairs
Rocky Mountain Journal of Mathematics, 1992 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alpay, Daniel, Daniel Alpay
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Reproducing kernel Hilbert spaces on manifolds: Sobolev and diffusion spaces [PDF]
Analysis and Applications, 2020 We study reproducing kernel Hilbert spaces (RKHS) on a Riemannian manifold. In particular, we discuss under which condition Sobolev spaces are RKHS and characterize their reproducing kernels. Further, we introduce and discuss a class of smoother RKHS that we call diffusion spaces.
De Vito E., Mucke N., Rosasco L.
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Symmetric Operators and Reproducing Kernel Hilbert Spaces [PDF]
Complex Analysis and Operator Theory, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Martin, R. T.
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Operator inequalities in reproducing kernel Hilbert spaces
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2022 Summary: In this paper, by using some classical Mulholland type inequality, Berezin symbols and reproducing kernel technique, we prove the power inequalities for the Berezin number \(\operatorname{ber}(A)\) for some self-adjoint operators \(A\) on \({H}(\Omega)\).
Yamancı, Ulaş
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Reproducing Kernel Hilbert Spaces of Polyanalytic Functions of Infinite Order [PDF]
, 2022 In this paper we introduce reproducing kernel Hilbert spaces of polyanalytic functions of infinite order. First we study in details the counterpart of the Fock space and related results in this framework.
Alpay, Daniel +3 more
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On functional reproducing kernels
Open Mathematics, 2023 We show that even if a Hilbert space does not admit a reproducing kernel, there could still be a kernel function that realizes the Riesz representation map.
Zhou Weiqi
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Reproducing Kernel Hilbert Spaces of Smooth Fractal Interpolation Functions
Fractal and Fractional, 2023 The theory of reproducing kernel Hilbert spaces (RKHSs) has been developed into a powerful tool in mathematics and has lots of applications in many fields, especially in kernel machine learning.
Dah-Chin Luor, Liang-Yu Hsieh
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New characterizations of reproducing kernel Hilbert spaces and applications to metric geometry [PDF]
Opuscula Mathematica, 2021 We give two new global and algorithmic constructions of the reproducing kernel Hilbert space associated to a positive definite kernel. We further present a general positive definite kernel setting using bilinear forms, and we provide new examples.
Daniel Alpay, Palle E.T. Jorgensen
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