@article{ASNSP_1990_4_17_1_127_0, author = {Lipsman, Ronald L.}, title = {Induced representations of completely solvable {Lie} groups}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {127--164}, publisher = {Scuola normale superiore}, volume = {Ser. 4, 17}, number = {1}, year = {1990}, mrnumber = {1074629}, zbl = {0724.22006}, language = {en}, url = {http://www.numdam.org/item/ASNSP_1990_4_17_1_127_0/} }
TY - JOUR AU - Lipsman, Ronald L. TI - Induced representations of completely solvable Lie groups JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 1990 SP - 127 EP - 164 VL - 17 IS - 1 PB - Scuola normale superiore UR - http://www.numdam.org/item/ASNSP_1990_4_17_1_127_0/ LA - en ID - ASNSP_1990_4_17_1_127_0 ER -
%0 Journal Article %A Lipsman, Ronald L. %T Induced representations of completely solvable Lie groups %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 1990 %P 127-164 %V 17 %N 1 %I Scuola normale superiore %U http://www.numdam.org/item/ASNSP_1990_4_17_1_127_0/ %G en %F ASNSP_1990_4_17_1_127_0
Lipsman, Ronald L. Induced representations of completely solvable Lie groups. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 17 (1990) no. 1, pp. 127-164. http://www.numdam.org/item/ASNSP_1990_4_17_1_127_0/
[1] Sur les représentations unitaires des groupes de Lie résolubles, Ann. Sci. Ecole Norm. Sup., 82 (1965), 37-99. | Numdam | MR | Zbl
,[2] Représentations des groupes de Lie résolubles, Dunod, Paris, 1972. | MR | Zbl
, et al.,[3] Representations of exponential Lie groups, Functional Anal. Appl., 7 (1973), 151-152. | MR | Zbl
,[4] Direct integral decompositions and multiplicities for induced representations of nilpotent Lie groups, Trans. Amer. Math. Soc., 304 (1987), 549-583. | MR | Zbl
- - ,[5] Complex algebraic geometry and calculation of multiplicities for induced representations of nilpotent Lie groups, Trans. Amer. Math. Soc., 305 (1988), 601-622. | MR | Zbl
- ,[6] Unitary representations of nilpotent Lie groups, Russian Math. Surveys, 17 (1962), 53-104. | MR | Zbl
,[7] The Plancherel formula for group extensions I, Ann. Sci. Ecole Norm. Sup., 5 (1972), 459-516. | Numdam | MR | Zbl
- ,[8] Characters of Lie groups II, J. Analyse Math., 31 (1977), 257-286. | MR | Zbl
,[9] Orbital parameters for induced and restricted representations, Trans. Amer. Math. Soc., 313 (1989), 433-473. | MR | Zbl
,[10] Harmonic analysis on exponential solvable homogeneous spaces: The algebraic or symmetric cases, Pacific J. Math., 140 (1989), 117-147. | MR | Zbl
,[11] Unitary representations of group extensions, Acta Math., 99 (1958), 265-311. | MR | Zbl
,[12] Unitary representations of Lie groups with co-compact radical and applications, Trans Amer. Math. Soc., 236 (1978), 1-49. | MR | Zbl
,[13] Sur la facteur représentation d'une groupe de Lie résoluble de type (E), Math. J. Okayama Univ., 7 (1957), 151-161. | MR | Zbl
,