Orbital decompositions of representations of non-simply connected nilpotent groups
1990 ◽
Vol 42
(2)
◽
pp. 293-306
Keyword(s):
An orbital integral formula is proven for the direct integral decomposition of an induced representation of a connected nilpotent Lie group. Previous work required simple connectivity. An explicit description of the spectral measure and spectral multiplicity function is derived in terms of orbital parameters. It is also proven that connected (but not necessarily simply connected) exponential solvable symmetric spaces are multiplicity free. Finally, the qualitative properties of the spectral multiplicity function are examined via several illuminating examples.
1990 ◽
Vol 42
(5)
◽
pp. 790-824
◽
2011 ◽
Vol 291-294
◽
pp. 2014-2020
2007 ◽
Vol 28
(6)
◽
pp. 685-700
1992 ◽
Vol 03
(05)
◽
pp. 629-651
◽
2014 ◽
Vol 2014
(691)
◽