2 problems

Let $H$ be the operator in the paper's wave equation setting on an isotropic medium of dimension $d$, and let $r,s>0$ with $r\leq s$. Consider the microlocalized wave propagator…

Let ${\bf g}_n^{(\alpha,\beta)}$ be the function introduced earlier in the paper, and let $H_\alpha$ be the discrete Laguerre operator. The preceding estimates are stated for the r…