Mathematics > Functional Analysis
arXiv:2606.27008 (math)
[Submitted on 25 Jun 2026]
Abstract:We present a class of pairs of subsets of $\mathbb R^d$ for which the Fourier transform, when restricted to these subsets, is an isometric isomorphism, and thus the Plancherel identity is satisfied. The sets are invariant under translations by dual full-rank lattices.
Submission history
From: Dorin Ervin Dutkay [view email]
[v1]
Thu, 25 Jun 2026 13:23:58 UTC (2,750 KB)
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