Spectral analysis for convolution operators on locally compact groups

Details Spectral analysis for convolution operators on locally compact groups Spectral analysis for convolution operators on locally compact groups

2007-04-09

arxiv.org/abs/0704.1102v1

Physics

Mathematical Physics

14 pages

Scientific paper

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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