Plancherel Identities for unbounded subsets of ${\mathbb{R}}^d$

Dorin Ervin Dutkay, Piyali Chakraborty

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 iden…