Spectral analysis for convolution operators on locally compact groups

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/127074We consider operators $H_μ$ of convolution with measures $μ$ on locally compact groups. We characterize the spectrum of $H_μ$ by constructing auxiliary operators whose kernel contain the pure point and singular subspaces of $H_μ$, respectively. The proofs rely on commutator methods.14 pagesMathematical Physics34L05; 81Q10; 44A35; 22D05Spectral analysis for convolution operators on locally compact groupstext