The weak Paley-Wiener property for group extensions

Details The weak Paley-Wiener property for group extensions The weak Paley-Wiener property for group extensions

2004-01-30

arxiv.org/abs/math/0401436v1

Mathematics

Functional Analysis

22 pages

Scientific paper

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.

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