2004/01/30 by Hartmut Fuehr, Fuehr, Hartmut
Mathematics · #22E27 #43A30 #Algebraic and Geometric Analysis #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods #Representation Theory (math.RT) #advanced mathematical theories #math.FA #math.RT #msc:22E27 #msc:43A30
paper · pdf · doi:10.48550/arxiv.math/0401436
22 pages
arxiv created 2004/01/30 · openalex publication_date 2004/01/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.