The Cramer-Wold theorem on quadratic surfaces and Heisenberg uniqueness pairs

Karlheinz Gröchenig, Philippe Jaming

Two measurable sets $S,\Lambda \subseteq {\mathcal{R}}^d$ form a Heisenberg uniqueness pair, if every bounded measure $\mu$ with support in S whose Fourier transform vanishes on Λ must be ze…