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.
Convergent sequences of dense graphs I. Subgraph frequenc ies, metric properties and testing,
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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.