Geodesic
An F. and M. Riesz theorem for compact Lie groups.
Mathematica Scandinavica, Tome 64 (1989) no. 2, pp. 226-232.

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Mots-clés : measure, compact Lie group, Fourier transform, measure algebra, invariant Haar measure, trigonometric polynomials, maximal torus, weight lattice, semisimple compact connected linear Lie group, dominant weights, highest weights, absolutely continuous 
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     author = {R.G.M. Brummelhuis},
     title = {An {F.} and {M.} {Riesz} theorem for compact {Lie} groups.},
     journal = {Mathematica Scandinavica},
     pages = {226--232},
     publisher = {mathdoc},
     volume = {64},
     number = {2},
     year = {1989},
     zbl = {0719.43001},
     url = {http://geodesic.mathdoc.fr/item/MS2_1989__64_2_186114/}
}
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R.G.M. Brummelhuis. An F. and M. Riesz theorem for compact Lie groups.. Mathematica Scandinavica, Tome 64 (1989) no. 2, pp. 226-232. http://geodesic.mathdoc.fr/item/MS2_1989__64_2_186114/