Shift-invariant, bandlimited, and principal shift-invariant spaces of graph signals coincide on undirected finite graphs under a distinct-spectrum assumption, yielding an RKHS view and a finite Krylov sampling algorithm.
Mallat, A Wavelet Tour of Signal Processing , Academic Press, San Diego, CA, 1998
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Shift-invariant spaces, bandlimited spaces and reproducing kernel spaces with shift-invariant kernels on undirected finite graphs
Shift-invariant, bandlimited, and principal shift-invariant spaces of graph signals coincide on undirected finite graphs under a distinct-spectrum assumption, yielding an RKHS view and a finite Krylov sampling algorithm.