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math.CAJun 5, 2007
11
citations (OpenAlex)
authors
  • Fabio Ferrari Ruffino
arXiv abstractPDF
paper

The topology of the spectrum for Gelfand pairs on Lie groups

arXiv:0706.0708

Abstract

Given a Gelfand pair of Lie groups, we identify the spectrum with a suitable subset of C^n and we prove the equivalence between Gelfand topology and euclidean topology.

arXiv comment10 pages, no figures

Cited by in corpus (2)

  • Spectral theory for commutative algebras of differential operators on Lie groups
  • Convolution kernels versus spectral multipliers for sub-Laplacians on groups of polynomial growth
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