Analogues of Miyachi, Cowling-Price and Morgan theorems for compact extensions of \(\mathbb R^{n1}\) (Q395110)

This paper is about Hardy theorem type uncertainty principles. Specifically, let \(K\) be a compact subgroup of the automorphism group of \(\mathbb{R}^n\). On the semidirect product \(G= K \ltimes\mathbb{R}^n\), analogues of Miyachi's theorem, the Cowling-Price uncertainty principle and the \(L^p-L^q\) Morgan's theorem are proved.