Analyticity properties and estimates of resolvent kernels near thresholds
Matania Ben‐Artzi, Yves Dermenjian, Jean Claude Guillot · Communications in Partial Differential Equations · 2000
Resolvent estimates are derived for the faimly of ordinary differential operators It is assumed that, and the kernels are studied in neighborhoods of the points ,uniformly in compact intervals of P. This family arises in the direct integral decomposition of the acoustic propagator in layered media, , and the results imply “low energy” estimates for this operator, as well as the validity of the “limiting absorption principle”