Local spectral radius formulas on compact Lie groups

Details Local spectral radius formulas on compact Lie groups Local spectral radius formulas on compact Lie groups

2008-05-26

arxiv.org/abs/0805.3900v2

J. Lie Theory 19 (2009), 223--230.

Mathematics

Representation Theory

7 pages, no figures. Reference updated. Final version, to appear in J. Lie Theory.

Scientific paper

We determine the local spectrum of a central element of the complexified
universal enveloping algebra of a compact connected Lie group at a smooth
function as an element of L^p(G). Based on this result we establish a
corresponding local spectral radius formula.

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