Hartmut Fuehr
Published 2004-01-30Version 1
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.
Beurling-Fourier algebras on Lie groups and their spectra
Continuous action of Lie groups on $\mathbb{R}^n$ and Frames
Lie Groups Associated to H"older-Continuous Functions
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