List questions from reproducing-kernel-hilbert-spaces

Published on 25 Mar 2026 - 17:33

48

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Mercer's Theorem and Orthonormal Eigenfunctions

Published on 14 Apr 2026 - 4:07

39

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How is this stability bound for the unique interpolant possible? $|s^*(x)|^2\le K(x,x)\|f\|_K\text{cond}_2(G_S)$

Published on 15 Apr 2026 - 7:07

49

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Conditions for transformations of kernels to be kernels

Published on 12 Apr 2026 - 8:08

55

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Under what kernels and/or conditions does $k(x, x) = k(x, X) k(X, X)^{-1} k(X, x)$?

Published on 17 Apr 2026 - 15:25

84

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A counterexample to the compactness of inclusion embedding from RKHS to $C(\mathcal{X})$

Published on 13 Apr 2026 - 8:48

109

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Integrating a product of Gaussian kernels

Published on 12 Apr 2026 - 16:02

124

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Inverse of kernel integral operator of Gaussian squared exponential kernel

Published on 11 Apr 2026 - 14:40

44

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Positive semidefiniteness of a RKHS

Published on 14 Apr 2026 - 15:10

32

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Approximation of a new kernel by a linear combination of previous kernels

Published on 11 Apr 2026 - 15:36

16

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Monotone approximating sequence in RKHS

Published on 24 Apr 2026 - 1:26

81

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Is this map continuous w.r.t. the weak topology?

Published on 15 Apr 2026 - 6:38

56

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On the Moore-Aronszajn theorem for reproducing kernel Hilbert spaces

Published on 13 Apr 2026 - 23:57

86

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Embedding for Hilbertian Metric?

Published on 14 Apr 2026 - 3:38

27

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From convergence of orthogonal projection to orthogonal series expansion in reproducing kernel Hilbert spaces.

Published on 10 Apr 2026 - 23:23

List Question

How was this bound of the Norm of this Vektor derived? $\|U(x)\|_2^2\le K(x,x)\rho(G_U)$

Mercer's Theorem and Orthonormal Eigenfunctions

How is this stability bound for the unique interpolant possible? $|s^*(x)|^2\le K(x,x)\|f\|_K\text{cond}_2(G_S)$

Conditions for transformations of kernels to be kernels

Under what kernels and/or conditions does $k(x, x) = k(x, X) k(X, X)^{-1} k(X, x)$?

A counterexample to the compactness of inclusion embedding from RKHS to $C(\mathcal{X})$

Integrating a product of Gaussian kernels

Inverse of kernel integral operator of Gaussian squared exponential kernel

Positive semidefiniteness of a RKHS

Approximation of a new kernel by a linear combination of previous kernels

Monotone approximating sequence in RKHS

Is this map continuous w.r.t. the weak topology?

On the Moore-Aronszajn theorem for reproducing kernel Hilbert spaces

Embedding for Hilbertian Metric?

From convergence of orthogonal projection to orthogonal series expansion in reproducing kernel Hilbert spaces.

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