Geodesic
Changes of Variables Preserving Fourier-Stieltjes Transforms on Simply Connected Nilpotent Lie Groups
Canadian journal of mathematics, Tome 29 (1977) no. 4, pp. 744-755

Voir la notice de l'article provenant de la source Cambridge University Press

In [1] Beurling and Helson prove the following theorem.THEOREM. Let φ: R → R be a continuous map such that Then φ is affine. (Here denotes the space of Fourier-Stieltjes transforms on R.) 
Drury, S. W. Changes of Variables Preserving Fourier-Stieltjes Transforms on Simply Connected Nilpotent Lie Groups. Canadian journal of mathematics, Tome 29 (1977) no. 4, pp. 744-755. doi: 10.4153/CJM-1977-078-0
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[1] 1. Beurling, A. and Helson, H., Fourier-Stieltjes transforms with bounded powers, Math. Scand. 1 (1953), 120–126. Google Scholar

[2] 2. Eymard, P., L'algèbre de Fourier d'un groupe localement compact, Bull. Soc. Math. France 92 (1964), 181–236. Google Scholar

[3] 3. Jacobson, N., Lie algebras, Interscience tracts in pure and applied mathematics No. 10 (New York, 1962). Google Scholar

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