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Prove strictly positive-definite kernel

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#functional-analysis #reproducing-kernel-hilbert-spaces
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Example of an infinite dimensional Hilbert space that is not an RKHS

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364
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Is a Reproducing Kernel Hilbert Space just a Hilbert space equipped with an "indexed basis"?

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#functional-analysis #hilbert-spaces #schauder-basis #reproducing-kernel-hilbert-spaces
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RKHS rough definition

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#hilbert-spaces #reproducing-kernel-hilbert-spaces
60
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Does the optimal function in kernel method have a sparse representation?

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#functional-analysis #statistics #machine-learning #sparsity #reproducing-kernel-hilbert-spaces
65
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A biliographic inquiry into Fredholm's kernel

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#reference-request #math-history #trace #reproducing-kernel-hilbert-spaces
70
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Orthonormal system $\{ e_n(t)\}_{n=1}^{\infty}$ is complete $\Leftrightarrow$ $k(t,t) = \sum_{n=0}^{\infty}{|e_n(t)|^2}, \forall t \in \Omega$

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Invertibility of Grammian in Reproducing Kernel Hilbert Space

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#functional-analysis #reproducing-kernel-hilbert-spaces
287
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Linear regression with feature representation confusion - is design matrix column space the feature space?

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#linear-algebra #regression #machine-learning #reproducing-kernel-hilbert-spaces
684
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Is there a positive-semidefinite convolution kernel, that is continuous at $0$ but discontinuous elsewhere?

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#functional-analysis #fourier-series #spectral-theory #lacunary-series #reproducing-kernel-hilbert-spaces
199
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eigenvalues and their analogy with frequency

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#eigenvalues-eigenvectors #machine-learning #reproducing-kernel-hilbert-spaces
26
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How to prove that the inner space has this property?

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#linear-algebra #inner-products #reproducing-kernel-hilbert-spaces
86
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A reproducing kernel Hilbert Space. Barry Simon problem 4.

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#hilbert-spaces #reproducing-kernel-hilbert-spaces
342
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Each Hilbert space of holomorphic functions on $\mathbb C$ is a reproducing kernel Hilbert space?

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#complex-analysis #functional-analysis #hilbert-spaces #reproducing-kernel-hilbert-spaces
111
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Homogeneous Fredholm Integral Equation of Second Kind with Boundary Conditions

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#functional-analysis #reproducing-kernel-hilbert-spaces

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