Weighted orbital integrals on SL(2,)
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, Serie 2, no. 15 (1984), pp. 201-217.
@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 $SL(2,{\mathbb {R}})$, in 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, Serie 2, no. 15 (1984), pp. 201-217. doi : 10.24033/msmf.304. http://archive.numdam.org/articles/10.24033/msmf.304/

[1] J.G. Arthur (a) 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

[2] L. Cohn, Analytic Theory of the Harish-Chandra c-function, Lecture Notes in Math, 429, Springer-Verlag, New York, 1974. | MR | Zbl

[3] A. Erdelyi, editor, Higher Trancendental Functions, vol. 1, McGraw-Hill, New York, 1953. | Zbl

[4] Harish-Chandra, (a) 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

[5] R. Herb (a) 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

[6] P. Sally and G. Warner, The Fourier transform on semisimple Lie groups of real rank one, Acta Math., 131 (1973), 1-26. | MR | Zbl

[7] G. Warner, Selberg's trace formula for nonuniform lattices: the R-rank one case, Advances in Math. Studies, 6 (1979), 1-142. | MR | Zbl

Cited by Sources: