@incollection{MSMF_1984_2_15__201_0, author = {Herb, Rebecca A.}, title = {Weighted orbital integrals on $SL(2,{\mathbb {R}})$}, booktitle = {Analyse harmonique sur les groupes de Lie et les espaces sym\'etriques (Actes du colloque du Kleebach, 20-24 mai 1983)}, editor = {Duflo, Michel and Eymard, Pierre and Schiffmann, G\'erard}, series = {M\'emoires de la Soci\'et\'e Math\'ematique de France}, pages = {201--217}, publisher = {Soci\'et\'e math\'ematique de France}, number = {15}, year = {1984}, doi = {10.24033/msmf.304}, mrnumber = {87h:22017}, zbl = {0562.22003}, url = {http://archive.numdam.org/articles/10.24033/msmf.304/} }
TY - CHAP AU - Herb, Rebecca A. TI - Weighted orbital integrals on $SL(2,{\mathbb {R}})$ BT - Analyse harmonique sur les groupes de Lie et les espaces symétriques (Actes du colloque du Kleebach, 20-24 mai 1983) AU - Collectif ED - Duflo, Michel ED - Eymard, Pierre ED - Schiffmann, Gérard T3 - Mémoires de la Société Mathématique de France PY - 1984 SP - 201 EP - 217 IS - 15 PB - Société mathématique de France UR - http://archive.numdam.org/articles/10.24033/msmf.304/ DO - 10.24033/msmf.304 ID - MSMF_1984_2_15__201_0 ER -
%0 Book Section %A Herb, Rebecca A. %T Weighted orbital integrals on $SL(2,{\mathbb {R}})$ %B Analyse harmonique sur les groupes de Lie et les espaces symétriques (Actes du colloque du Kleebach, 20-24 mai 1983) %A Collectif %E Duflo, Michel %E Eymard, Pierre %E Schiffmann, Gérard %S Mémoires de la Société Mathématique de France %D 1984 %P 201-217 %N 15 %I Société mathématique de France %U http://archive.numdam.org/articles/10.24033/msmf.304/ %R 10.24033/msmf.304 %F MSMF_1984_2_15__201_0
Herb, Rebecca A. Weighted orbital integrals on $SL(2,{\mathbb {R}})$, dans Analyse harmonique sur les groupes de Lie et les espaces symétriques (Actes du colloque du Kleebach, 20-24 mai 1983), Mémoires de la Société Mathématique de France, Série 2, no. 15 (1984), pp. 201-217. doi : 10.24033/msmf.304. http://archive.numdam.org/articles/10.24033/msmf.304/
[1] The Selberg trace formula for groups of F-rank one, Ann. of Math. 100 (1974), 326-385. (b) Some tempered distributions on semisimple groups of real rank one, Ann. of Math. 100 (1974), 553-584. (c) The characters of discrete series as orbital integrals, Inv. Math. 32 (1976), 205-261. (d) On the invariant distributions associated to weighted orbital integrals, preprint. | MR | Zbl
(a)[2] Analytic Theory of the Harish-Chandra c-function, Lecture Notes in Math, 429, Springer-Verlag, New York, 1974. | MR | Zbl
,[3] Higher Trancendental Functions, vol. 1, McGraw-Hill, New York, 1953. | Zbl
, editor,[4] Harmonic analysis on real reductive groups, I. J. Funct. Anal., 19, (1975), 104-204. (b) Harmonic analysis on real reductive groups, II, Inv. Math., 36 (1976), 1-55. (c) Harmonic analysis on real reductive groups, III, Ann. of Math., 104 (1976), 117-201. | Zbl
, (a)[5] An inversion formula for weighted orbital integrals, Compositio Math., 47 (1982), 333-354. (b) Discrete series characters and Fourier inversion on real semisimple Lie groups, Trans. A.M.S., 277 (1983), 241-262. | MR | Zbl
(a)[6] The Fourier transform on semisimple Lie groups of real rank one, Acta Math., 131 (1973), 1-26. | MR | Zbl
and ,[7] Selberg's trace formula for nonuniform lattices: the R-rank one case, Advances in Math. Studies, 6 (1979), 1-142. | MR | Zbl
,Cité par Sources :