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The Fuglede conjecture holds in ℤp× ℤp

The Fuglede conjecture holds in ℤp× ℤp

In this paper we study subsets E of ‫ޚ‬ d p such that any function f : E → ‫ރ‬ can be written as a linear combination of characters orthogonal with respect to E. We shall refer to such sets as spectral.In this context, we prove the Fuglede conjecture in …