Sampling inequalities for Paley-Wiener functions on graphons are proved and shown to be uniform for graphon sequences converging in cut norm with uniformly convergent degree functions.
Graphons, cut norm and distance, couplings a nd rearrange- ments,
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Consistent sampling of Paley-Wiener functions on graphons
Sampling inequalities for Paley-Wiener functions on graphons are proved and shown to be uniform for graphon sequences converging in cut norm with uniformly convergent degree functions.