A Faber-Krahn inequality for wavelet transforms

João P. G. Ramos, Paolo Tilli

For some special window functions ${\psi }_{\beta }\in H^2({\mathbb{C}}^{+}),$ we prove that, over all sets $\Delta \subset {\mathbb{C}}^{+}$ of fixed hyperbolic measure $\nu (\Delta ),$ the ones over which the Wave…