Journal of Lie Theory

no. 2
The Weak Paley-Wiener Property for Group Extensions
Journal of Lie Theory, Volume 15 (2005) no. 2, pp. 429-446
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.
DOI: 10.5802/jolt.384
Classification: 43A30, 22E27
Keywords: Weak Paley-Wiener property, operator-valued Fourier transform, Mackey's theory 
@article{JOLT_2005_15_2_a4,
     author = {H. F\"uhr},
     title = {The {Weak} {Paley-Wiener} {Property} for {Group} {Extensions}},
     journal = {Journal of Lie Theory},
     pages = {429--446},
     year = {2005},
     volume = {15},
     number = {2},
     doi = {10.5802/jolt.384},
     zbl = {1074.43003},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.384/}
}
TY  - JOUR
AU  - H. Führ
TI  - The Weak Paley-Wiener Property for Group Extensions
JO  - Journal of Lie Theory
PY  - 2005
SP  - 429
EP  - 446
VL  - 15
IS  - 2
UR  - https://jolt.centre-mersenne.org/articles/10.5802/jolt.384/
DO  - 10.5802/jolt.384
ID  - JOLT_2005_15_2_a4
ER  - 
%0 Journal Article
%A H. Führ
%T The Weak Paley-Wiener Property for Group Extensions
%J Journal of Lie Theory
%D 2005
%P 429-446
%V 15
%N 2
%U https://jolt.centre-mersenne.org/articles/10.5802/jolt.384/
%R 10.5802/jolt.384
%F JOLT_2005_15_2_a4
H. Führ. The Weak Paley-Wiener Property for Group Extensions. Journal of Lie Theory, Volume 15 (2005) no. 2, pp. 429-446. doi: 10.5802/jolt.384

Cited by Sources: