- 07-85 Marius Mantoiu and Rafael Tiedra de Aldecoa
- Spectral analysis for convolution operators on locally compact groups
Apr 9, 07
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Abstract. We consider operators $H_\mu$ of convolution with measures $\mu$ on locally compact groups. We characterize the
spectrum of $H_\mu$ by constructing auxiliary operators whose kernel contain the pure point and singular subspaces
of $H_\mu$, respectively. The proofs rely on commutator methods.