@article{CM_1986__57_3_271_0, author = {Herb, Rebecca A. and Wolf, Joseph A.}, title = {The {Plancherel} theorem for general semisimple groups}, journal = {Compositio Mathematica}, pages = {271--355}, publisher = {Martinus Nijhoff Publishers}, volume = {57}, number = {3}, year = {1986}, mrnumber = {829325}, zbl = {0587.22005}, language = {en}, url = {http://www.numdam.org/item/CM_1986__57_3_271_0/} }
TY - JOUR AU - Herb, Rebecca A. AU - Wolf, Joseph A. TI - The Plancherel theorem for general semisimple groups JO - Compositio Mathematica PY - 1986 SP - 271 EP - 355 VL - 57 IS - 3 PB - Martinus Nijhoff Publishers UR - http://www.numdam.org/item/CM_1986__57_3_271_0/ LA - en ID - CM_1986__57_3_271_0 ER -
Herb, Rebecca A.; Wolf, Joseph A. The Plancherel theorem for general semisimple groups. Compositio Mathematica, Tome 57 (1986) no. 3, pp. 271-355. http://www.numdam.org/item/CM_1986__57_3_271_0/
1 Ph.D. Thesis, MIT (1984).
:2 On the Plancherel formula of almost-algebraic real Lie groups, Lie Group Representations III, Proceedings, Univ. of Maryland 1982-1983, Lecture Notes in Math., Vol. 1077, Springer-Verlag, Berlin and New York, 101-165. | MR | Zbl
:3 A classification of unitary highest weight modules, Representation Theory of Reductive Groups (Proceedings, Utah, 1982), Birkhäuser (1983) 97-143. | MR | Zbl
, and :4
, , , and :(a) Classes of unitarizable derived functor modules, Proc. Nat. Acad. Sci., U.S.A. 80 (1983) 7047-7050. | Zbl
(b) Unitary derived functor modules with small spectrum, Acta Math. 154 (1985) 105-136. | MR | Zbl
5 Continuation of unitary derived functor modules out of the canonical chamber Analyse Harmonique sur les Groupes de Lie et les èspaces symétriques, Actes du colloque du Kleebach, 1983, Mémoire de la Societé Math. de France, 112 (1984) 139-156. | Numdam | MR | Zbl
and :6 Discrete series for semisimple Lie groups I, Acta Math. 113 (1965) 241-318. | MR | Zbl
: (a)(b) Harmonic analysis on real reductive groups I, J. Funct. Anal. 19 (1975) 104-204. | MR | Zbl
(c) Harmonic analysis on real reductive groups, II. Inv. Math., 36 (1976) 1-55. | EuDML | MR | Zbl
(d) Harmonic analysis on real reductive groups, III, Ann. of Math., 104 (1976) 117-201. | MR | Zbl
7 Fourier inversion of invariant integrals on semisimple real Lie groups, TAMS 249 (1979) 281-302. | MR | Zbl
:(a)(b) Fourier inversion and the Plancherel theorem for semisimple real Lie gioups, Amer. J. Math. 104 (1982) 9-58. | MR | Zbl
(c) Fourier inversion and the Plancherel theorem (Proc. Marseille Conf., 1980), Lecture Notes in Math., Vol. 880, Springer-Verlag, Berlin and New York, 197-210. | MR | Zbl
(d) Discrete series characters and Fourier inversion on semisimple real Lie groups, TAMS, 277 (1983) 241-261. | MR | Zbl
(e) The Plancherel theorem for semisimple groups without compact Cartan subgroups (Proc. Marseille Conf. 1982), Lecture Notes in Math. Vol. 1020, Springer-Verlag, Berlin and New York, 73-79. | Zbl
8 Singular invariant eigendistributions as characters in the Fourier transform of invariant distributions, J. Funct. Anal. 33 (1979) 195-210. | MR | Zbl
and :9 The Plancherel formula for the universal covering group of SL(2, R), Math. Ann. 156 (1964) 96-143. | EuDML | MR | Zbl
:10 Analytic continuation of the irreducible unitary representations of the universal covering group of SL(2, R), Mem. AMS 69 (1967). | MR | Zbl
:11 The Fourier transform on semisimple Lie groups of real rank one, Acta Math. 131 (1973) 1-26. | MR | Zbl
and :12 Orbital integrals and a family of groups attached to a real reductive group, Ann. Sci. Ecole Norm. Sup. 12 (1979) 1-31. | EuDML | Numdam | MR | Zbl
:13 A Poisson-Plancherel formula for semisimple Lie groups, Ann. of Math., 115 (1982) 639-666. | MR | Zbl
:14 Unitarizability of certain series of representations, Ann. of Math., 120 (1984) 141-187. | MR | Zbl
:15 The analytic continuation of the discrete series I, II, T.A.M.S., 251 (1979) 1-17, 19-37. | MR | Zbl
:16 Harmonic Analysis on Semisimple Lie groups, Vol. I, II, Springer-Verlag, Berlin and New York, 1972. | MR | Zbl
:17 Spectrum of a reductive Lie group, AMS PSPM, Vol. 25, (1974) 305-312. | MR | Zbl
: (a)(b) Geometric realizations of representations of reductive Lie groups, AMS PSPM, Vol. 25 (1974) 313-316. | MR | Zbl
(c) Unitary representations on partially holomorphic cohomology spaces, Mem. AMS. 138 (1974). | Zbl