Geodesic
The Weak Paley-Wiener Property for Group Extensions
Journal of Lie theory, Tome 15 (2005) no. 2, pp. 429-446.

Voir la notice de l'article provenant de la source Heldermann Verlag

The paper studies weak Paley-Wiener properties for group extensions by use of Mackey's theory. The main theorem establishes sufficient conditions on the dual action to ensure that the group has the weak Paley-Wiener property. The theorem applies to yield the weak Paley-Wiener property for large classes of simply connected, connected solvable Lie groups (including exponential Lie groups), but also criteria for non-unimodular groups or motion groups.
Classification : 43A30, 22E27
Mots-clés : Weak Paley-Wiener property, operator-valued Fourier transform, Mackey's theory 
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     title = {The {Weak} {Paley-Wiener} {Property} for {Group} {Extensions}},
     journal = {Journal of Lie theory},
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     number = {2},
     year = {2005},
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}
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H. F�hr . The Weak Paley-Wiener Property for Group Extensions. Journal of Lie theory, Tome 15 (2005) no. 2, pp. 429-446. http://geodesic.mathdoc.fr/item/JLT_2005_15_2_JLT_2005_15_2_a4/