07-85 Marius Mantoiu and Rafael Tiedra de Aldecoa

Spectral analysis for convolution operators on locally compact groups (229K, PDF) 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.

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