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Results tagged with eigenvalues
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user 44620
eigenvalues of matrices or operators
7
votes
Accepted
Gaussian kernel eigenfunctions
In the notation of the question,
$$
\int f(x,y)\nu(y)dy=W_\sigma\ast \nu(x)
$$
where $W_\sigma(x)=e^{-|x|^2/2\sigma^2}$ and $\ast$ denotes convolution. Thus, if
$$
\int f(x,y)\nu(y)dy=\lambda\nu(x)
…
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