Spectral analysis for convolution operators on locally compact groups

2007/04/09 by Marius Mantoiu, Marius Măntoiu, Mantoiu, Marius +2 · 1 citation
Mathematics · Physics and Astronomy · #22D05 #34L05 #44A35 #81Q10 #Advanced Operator Algebra Research #FOS: Physical sciences #Mathematical Analysis and Transform Methods #Mathematical Physics (math-ph) #Spectral Theory in Mathematical Physics #math-ph #math.MP #msc:22D05 #msc:34L05 #msc:44A35 #msc:81Q10

paper · pdf · doi:10.48550/arxiv.0704.1102

14 pages

arxiv created 2007/04/09 · openalex publication_date 2007/04/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We 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.

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• Random Schrödinger operators and convolution on wreath products

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