Abstract
We prove the existence of a transfer of orbital integrals in endoscopy for real reductive groups when there is twisting by an automorphism defined over the reals and by a character on the real points of the group. Our proof contains a relatively short self-contained argument for the already known case of standard endoscopy.
-
[book]
J. Arthur, The Endoscopic Classification of Representations: Orthogonal and Symplectic Groups, 2011.@misc{book,
author = {Arthur, James},
TITLE = {The Endoscopic Classification of Representations: Orthogonal and Symplectic Groups},
NOTE={to appear},
URL = {www.claymath.org/cw/arthur/pdf/Book.pdf},
YEAR={2011},
} -
[prob] J. Arthur, "Problems for real groups," in Representation Theory of Real Reductive Lie Groups, Providence, RI: Amer. Math. Soc., 2008, vol. 472, pp. 39-62.
@incollection {prob, MRKEY = {2478455},
AUTHOR = {Arthur, James},
TITLE = {Problems for real groups},
BOOKTITLE = {Representation Theory of Real Reductive {L}ie Groups},
SERIES = {Contemp. Math.},
VOLUME = {472},
PAGES = {39--62},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {2008},
MRCLASS = {22E45 (11F70 22E50)},
MRNUMBER = {2478455},
MRREVIEWER = {Werner Hoffmann},
DOI = {10.1090/conm/472/09236},
ZBLNUMBER = {1159.22003},
} -
[Bor] A. Borel, "Automorphic $L$-functions," in Automorphic Forms, Representations and $L$-Functions, Providence, R.I.: Amer. Math. Soc., 1979, vol. XXXIII, pp. 27-61.
@incollection {Bor, MRKEY = {0546608},
AUTHOR = {Borel, A.},
TITLE = {Automorphic {$L$}-functions},
BOOKTITLE = {Automorphic Forms, Representations and {$L$}-Functions},
VENUE={{P}roc. {S}ympos. {P}ure {M}ath., {O}regon {S}tate {U}niv., {C}orvallis, {O}re., 1977, {P}art 2},
SERIES = {Proc. Sympos. Pure Math.},
VOLUME={XXXIII},
PAGES = {27--61},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, R.I.},
YEAR = {1979},
MRCLASS = {10D40 (12A67 22E50)},
MRNUMBER = {0546608},
MRREVIEWER = {Yasuhiro Asoo},
ZBLNUMBER = {0412.10017},
} -
[B1] A. Bouaziz, "Sur les caractères des groupes de Lie réductifs non connexes," J. Funct. Anal., vol. 70, iss. 1, pp. 1-79, 1987.
@article {B1, MRKEY = {0870753},
AUTHOR = {Bouaziz, Abderrazak},
TITLE = {Sur les caractères des groupes de {L}ie réductifs non connexes},
JOURNAL = {J. Funct. Anal.},
FJOURNAL = {Journal of Functional Analysis},
VOLUME = {70},
YEAR = {1987},
NUMBER = {1},
PAGES = {1--79},
ISSN = {0022-1236},
CODEN = {JFUAAW},
MRCLASS = {22E45},
MRNUMBER = {0870753},
DOI = {10.1016/0022-1236(87)90122-4},
ZBLNUMBER = {0622.22009},
} -
[B2] A. Bouaziz, "Intégrales orbitales sur les groupes de Lie réductifs," Ann. Sci. École Norm. Sup., vol. 27, iss. 5, pp. 573-609, 1994.
@article {B2, MRKEY = {1296557},
AUTHOR = {Bouaziz, Abderrazak},
TITLE = {Intégrales orbitales sur les groupes de {L}ie réductifs},
JOURNAL = {Ann. Sci. École Norm. Sup.},
FJOURNAL = {Annales Scientifiques de l'École Normale Supérieure. Quatrième Série},
VOLUME = {27},
YEAR = {1994},
NUMBER = {5},
PAGES = {573--609},
ISSN = {0012-9593},
CODEN = {ASENAH},
MRCLASS = {22E46},
MRNUMBER = {1296557},
MRREVIEWER = {D. Mili{\v{c}}i{ć}},
URL = {http://www.numdam.org/item?id=ASENS_1994_4_27_5_573_0},
ZBLNUMBER = {0832.22017},
} -
[CD] L. Clozel and P. Delorme, "Le théorème de Paley-Wiener invariant pour les groupes de Lie réductifs," Invent. Math., vol. 77, iss. 3, pp. 427-453, 1984.
@article {CD, MRKEY = {0759263},
AUTHOR = {Clozel, L. and Delorme, P.},
TITLE = {Le théorème de {P}aley-{W}iener invariant pour les groupes de {L}ie réductifs},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {77},
YEAR = {1984},
NUMBER = {3},
PAGES = {427--453},
ISSN = {0020-9910},
CODEN = {INVMBH},
MRCLASS = {22E30 (43A30)},
MRNUMBER = {0759263},
MRREVIEWER = {Michael Cowling},
DOI = {10.1007/BF01388832},
ZBLNUMBER = {0584.22005},
} -
[HCI] Harish-Chandra, "Harmonic analysis on real reductive groups. I. The theory of the constant term," J. Functional Analysis, vol. 19, pp. 104-204, 1975.
@article {HCI, MRKEY = {0399356},
AUTHOR = {Harish-Chandra},
TITLE = {Harmonic analysis on real reductive groups. {I}. {T}he theory of the constant term},
JOURNAL = {J. Functional Analysis},
VOLUME = {19},
YEAR = {1975},
PAGES = {104--204},
MRCLASS = {22E45},
MRNUMBER = {0399356},
MRREVIEWER = {P. C. Trombi},
ZBLNUMBER = {0315.43002},
DOI = {10.1016/0022-1236(75)90034-8},
} -
[Kal] T. Kaletha, "Decomposition of splitting invariants in split real groups," Canad. J. Math., vol. 63, iss. 5, pp. 1083-1106, 2011.
@article {Kal, MRKEY = {2866072},
AUTHOR = {Kaletha, Tasho},
TITLE = {Decomposition of splitting invariants in split real groups},
JOURNAL = {Canad. J. Math.},
FJOURNAL = {Canadian Journal of Mathematics. Journal Canadien de Mathématiques},
VOLUME = {63},
YEAR = {2011},
NUMBER = {5},
PAGES = {1083--1106},
ISSN = {0008-414X},
CODEN = {CJMAAB},
MRCLASS = {22Exx (11F70 11F72 11S37 17B22)},
MRNUMBER = {2866072},
DOI = {10.4153/CJM-2011-024-5},
ZBLNUMBER = {1231.11053},
} -
[K1] R. E. Kottwitz, "Rational conjugacy classes in reductive groups," Duke Math. J., vol. 49, iss. 4, pp. 785-806, 1982.
@article {K1, MRKEY = {0683003},
AUTHOR = {Kottwitz, Robert E.},
TITLE = {Rational conjugacy classes in reductive groups},
JOURNAL = {Duke Math. J.},
FJOURNAL = {Duke Mathematical Journal},
VOLUME = {49},
YEAR = {1982},
NUMBER = {4},
PAGES = {785--806},
ISSN = {0012-7094},
CODEN = {DUMJAO},
MRCLASS = {20G15 (22E55)},
MRNUMBER = {0683003},
MRREVIEWER = {Andy R. Magid},
DOI = {10.1215/S0012-7094-82-04939-0},
ZBLNUMBER = {0506.20017},
} -
[K2] R. E. Kottwitz, "Stable trace formula: elliptic singular terms," Math. Ann., vol. 275, iss. 3, pp. 365-399, 1986.
@article {K2, MRKEY = {0858284},
AUTHOR = {Kottwitz, Robert E.},
TITLE = {Stable trace formula: elliptic singular terms},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {275},
YEAR = {1986},
NUMBER = {3},
PAGES = {365--399},
ISSN = {0025-5831},
CODEN = {MAANA},
MRCLASS = {22E55 (11F70 11F72)},
MRNUMBER = {0858284},
MRREVIEWER = {J. Szmidt},
DOI = {10.1007/BF01458611},
ZBLNUMBER = {0577.10028},
} -
[aster] R. E. Kottwitz and D. Shelstad, Foundations of Twisted Endoscopy, , 1999, vol. 255.
@book {aster, MRKEY = {1687096},
AUTHOR = {Kottwitz, Robert E. and Shelstad, Diana},
TITLE = {Foundations of Twisted Endoscopy},
SERIES = {Astérisque},
FJOURNAL = {Astérisque},
VOLUME = {255},
YEAR = {1999},
PAGES = {vi+190},
ISSN = {0303-1179},
MRCLASS = {22E55 (11F70 11R34 22-02 22E50)},
MRNUMBER = {1687096},
ZBLNUMBER = {0958.22013},
MRREVIEWER = {Volker J. Heiermann},
} -
[KS12] R. E. Kottwitz and D. Shelstad, On splitting invariants and sign conventions in endoscopic transfer, 2012.
@misc{KS12,
author={Kottwitz, Robert E. and Shelstad, Diana},
TITLE = {On splitting invariants and sign conventions in endoscopic transfer},
YEAR={2012},
ARXIV={1201.5658},
} -
[L] R. Langlands, "Representations of abelian algebraic groups," Pacific J. Math., iss. Special Issue, pp. 231-250, 1997.
@article {L, MRKEY = {1610871},
AUTHOR = {Langlands, R.},
TITLE = {Representations of abelian algebraic groups},
JOURNAL = {Pacific J. Math.},
FJOURNAL = {Pacific Journal of Mathematics},
YEAR = {1997},
NUMBER = {Special Issue},
PAGES = {231--250},
ISSN = {0030-8730},
CODEN = {PJMAAI},
MRCLASS = {11R39 (22E55)},
MRNUMBER = {1610871},
MRREVIEWER = {Volker J. Heiermann},
DOI = {10.2140/pjm.1997.181.231},
ZBLCOMMENT = {BIBPROC: YEAR doesn't match found ZBLNUMBER},
ZBLNUMBER = {0910.11045},
} -
[trans] R. Langlands and D. Shelstad, "On the definition of transfer factors," Math. Ann., vol. 278, iss. 1-4, pp. 219-271, 1987.
@article {trans, MRKEY = {0909227},
AUTHOR = {Langlands, R. and Shelstad, D.},
TITLE = {On the definition of transfer factors},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {278},
YEAR = {1987},
NUMBER = {1-4},
PAGES = {219--271},
ISSN = {0025-5831},
CODEN = {MAANA},
MRCLASS = {11S37 (11F70 11F72 22E35 22E45 22E50)},
MRNUMBER = {0909227},
MRREVIEWER = {Ernst-Wilhelm Zink},
DOI = {10.1007/BF01458070},
ZBLNUMBER = {0644.22005},
} -
[LS2] R. Langlands and D. Shelstad, "Descent for transfer factors," in The Grothendieck Festschrift, Vol. II, Boston, MA: Birkhäuser, 1990, pp. 485-563.
@incollection {LS2, MRKEY = {1106907},
AUTHOR = {Langlands, R. and Shelstad, D.},
TITLE = {Descent for transfer factors},
BOOKTITLE = {The {G}rothendieck {F}estschrift, {V}ol. {II}},
SERIES = {Progr. Math.},
NUMBER = {87},
PAGES = {485--563},
PUBLISHER = {Birkhäuser},
ADDRESS = {Boston, MA},
YEAR = {1990},
MRCLASS = {22E50 (11S37)},
MRNUMBER = {1106907},
MRREVIEWER = {Ernst-Wilhelm Zink},
ZBLNUMBER = {0743.22009},
} -
[M] P. Mezo, "Character Identities in the Twisted Endoscopy of Real Reductive Groups," Mem. Amer. Math. Soc., p. x, 2012.
@article{M,
author={Mezo, P.},
TITLE={Character Identities in the Twisted Endoscopy of Real Reductive Groups},
JOURNAL={Mem. Amer. Math. Soc.},
YEAR={2012},
PAGES={x+94},
DOI = {10.1090/S0065-9266-2012-00661-7},
} -
[R1] D. Renard, "Intégrales orbitales tordues sur les groupes de Lie réductifs réels," J. Funct. Anal., vol. 145, iss. 2, pp. 374-454, 1997.
@article {R1, MRKEY = {1444087},
AUTHOR = {Renard, David},
TITLE = {Intégrales orbitales tordues sur les groupes de {L}ie réductifs réels},
JOURNAL = {J. Funct. Anal.},
FJOURNAL = {Journal of Functional Analysis},
VOLUME = {145},
YEAR = {1997},
NUMBER = {2},
PAGES = {374--454},
ISSN = {0022-1236},
CODEN = {JFUAAW},
MRCLASS = {22E46 (22E30)},
MRNUMBER = {1444087},
MRREVIEWER = {Bachir Bekka},
DOI = {10.1006/jfan.1996.2976},
ZBLNUMBER = {0877.22002},
} -
[R2] D. Renard, "Twisted endoscopy for real groups," J. Inst. Math. Jussieu, vol. 2, iss. 4, pp. 529-566, 2003.
@article {R2, MRKEY = {2006798},
AUTHOR = {Renard, David},
TITLE = {Twisted endoscopy for real groups},
JOURNAL = {J. Inst. Math. Jussieu},
FJOURNAL = {Journal of the Institute of Mathematics of Jussieu. JIMJ. Journal de l'Institute de Mathématiques de Jussieu},
VOLUME = {2},
YEAR = {2003},
NUMBER = {4},
PAGES = {529--566},
ISSN = {1474-7480},
MRCLASS = {22E45 (11F70)},
MRNUMBER = {2006798},
MRREVIEWER = {Volker J. Heiermann},
DOI = {10.1017/S147474800300015X},
ZBLNUMBER = {1034.22011},
} -
[geom] D. Shelstad, "Tempered endoscopy for real groups. I. Geometric transfer with canonical factors," in Representation Theory of Real Reductive Lie Groups, Providence, RI: Amer. Math. Soc., 2008, vol. 472, pp. 215-246.
@incollection {geom, MRKEY = {2454336},
AUTHOR = {Shelstad, Diana},
TITLE = {Tempered endoscopy for real groups. {I}. {G}eometric transfer with canonical factors},
BOOKTITLE = {Representation Theory of Real Reductive {L}ie Groups},
SERIES = {Contemp. Math.},
VOLUME = {472},
PAGES = {215--246},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {2008},
MRCLASS = {22E45 (11S37)},
MRNUMBER = {2454336},
MRREVIEWER = {Ravi Raghunathan},
DOI = {10.1090/conm/472/09241},
} -
[spec] D. Shelstad, "Tempered endoscopy for real groups. II. Spectral transfer factors," in Automorphic Forms and the Langlands Program, Int. Press, Somerville, MA, 2010, vol. 9, pp. 236-276.
@incollection {spec, MRKEY = {2581952},
AUTHOR = {Shelstad, Diana},
TITLE = {Tempered endoscopy for real groups. {II}. {S}pectral transfer factors},
BOOKTITLE = {Automorphic Forms and the {L}anglands Program},
SERIES = {Adv. Lect. Math. (ALM)},
VOLUME = {9},
PAGES = {236--276},
PUBLISHER = {Int. Press, Somerville, MA},
YEAR = {2010},
MRCLASS = {22E45 (22E50)},
MRNUMBER = {2581952},
ZBLNUMBER = {1198.22008},
} -
[inv] D. Shelstad, "Tempered endoscopy for real groups. III. Inversion of transfer and $L$-packet structure," Represent. Theory, vol. 12, pp. 369-402, 2008.
@article {inv, MRKEY = {2448289},
AUTHOR = {Shelstad, Diana},
TITLE = {Tempered endoscopy for real groups. {III}. {I}nversion of transfer and {$L$}-packet structure},
JOURNAL = {Represent. Theory},
FJOURNAL = {Representation Theory. An Electronic Journal of the American Mathematical Society},
VOLUME = {12},
YEAR = {2008},
PAGES = {369--402},
ISSN = {1088-4165},
MRCLASS = {22E45 (22E50)},
MRNUMBER = {2448289},
DOI = {10.1090/S1088-4165-08-00337-3},
} -
[examples] D. Shelstad, Examples in endoscopy for real groups (notes for BIRS summer school, August 2008).
@misc{examples,
author = {Shelstad, Diana},
TITLE = {Examples in endoscopy for real groups (notes for {BIRS} summer school, {A}ugust 2008)},
URL={http://andromeda.rutgers.edu/~shelstad},
SORTYEAR={2008},
} -
[inner] D. Shelstad, "Characters and inner forms of a quasi-split group over ${\bf R}$," Compositio Math., vol. 39, iss. 1, pp. 11-45, 1979.
@article {inner, MRKEY = {0539000},
AUTHOR = {Shelstad, Diana},
TITLE = {Characters and inner forms of a quasi-split group over {${\bf R}$}},
JOURNAL = {Compositio Math.},
FJOURNAL = {Compositio Mathematica},
VOLUME = {39},
YEAR = {1979},
NUMBER = {1},
PAGES = {11--45},
ISSN = {0010-437X},
CODEN = {CMPMAF},
MRCLASS = {22E45},
MRNUMBER = {0539000},
MRREVIEWER = {A. U. Klimyk},
URL = {http://www.numdam.org/item?id=CM_1979__39_1_11_0},
ZBLNUMBER = {0431.22011},
} -
[dijon] D. Shelstad, "Orbital integrals, endoscopic groups and $L$-indistinguishability for real groups," in Conference on Automorphic Theory, Paris: Univ. Paris VII, 1983, vol. 15, pp. 135-219.
@incollection {dijon, MRKEY = {0723184},
AUTHOR = {Shelstad, Diana},
TITLE = {Orbital integrals, endoscopic groups and {$L$}-indistinguishability for real groups},
BOOKTITLE = {Conference on Automorphic Theory},
VENUE={{D}ijon, 1981},
SERIES = {Publ. Math. Univ. Paris VII},
VOLUME = {15},
PAGES = {135--219},
PUBLISHER = {Univ. Paris VII},
ADDRESS = {Paris},
YEAR = {1983},
MRCLASS = {22E45 (11F70 11F72)},
MRNUMBER = {0723184},
MRREVIEWER = {Joe Repka},
ZBLCOMMENT = {BIBPROC: YEAR doesn't match found ZBLNUMBER},
ZBLNUMBER = {0529.22007},
} -
[emb] D. Shelstad, "Embeddings of $L$-groups," Canad. J. Math., vol. 33, iss. 3, pp. 513-558, 1981.
@article {emb, MRKEY = {0627641},
AUTHOR = {Shelstad, Diana},
TITLE = {Embeddings of {$L$}-groups},
JOURNAL = {Canad. J. Math.},
FJOURNAL = {Canadian Journal of Mathematics. Journal Canadien de Mathématiques},
VOLUME = {33},
YEAR = {1981},
NUMBER = {3},
PAGES = {513--558},
ISSN = {0008-414X},
CODEN = {CJMAAB},
MRCLASS = {22E50 (10D99 20G20)},
MRNUMBER = {0627641},
MRREVIEWER = {J. Tunnell},
DOI = {10.4153/CJM-1981-044-4},
ZBLNUMBER = {0457.22006},
} -
[lind] D. Shelstad, "$L$-indistinguishability for real groups," Math. Ann., vol. 259, iss. 3, pp. 385-430, 1982.
@article {lind, MRKEY = {0661206},
AUTHOR = {Shelstad, Diana},
TITLE = {{$L$}-indistinguishability for real groups},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {259},
YEAR = {1982},
NUMBER = {3},
PAGES = {385--430},
ISSN = {0025-5831},
CODEN = {MAANA3},
MRCLASS = {22E45},
MRNUMBER = {0661206},
MRREVIEWER = {Stephen Gelbart},
DOI = {10.1007/BF01456950},
ZBLNUMBER = {0506.22014},
} -
[twspec] D. Shelstad, On spectral transfer factors in real twisted endoscopy, 2011.
@misc {twspec, MRKEY = {2581952},
AUTHOR = {Shelstad, Diana},
TITLE = {On spectral transfer factors in real twisted endoscopy},
YEAR={2011},
URL={http://andromeda.rutgers.edu/~shelstad},
} -
[family] D. Shelstad, "Orbital integrals and a family of groups attached to a real reductive group," Ann. Sci. École Norm. Sup., vol. 12, iss. 1, pp. 1-31, 1979.
@article {family, MRKEY = {0532374},
AUTHOR = {Shelstad, Diana},
TITLE = {Orbital integrals and a family of groups attached to a real reductive group},
JOURNAL = {Ann. Sci. École Norm. Sup.},
FJOURNAL = {Annales Scientifiques de l'École Normale Supérieure. Quatrième Série},
VOLUME = {12},
YEAR = {1979},
NUMBER = {1},
PAGES = {1--31},
ISSN = {0012-9593},
CODEN = {ENAQAF},
MRCLASS = {22E45 (22E46)},
MRNUMBER = {0532374},
MRREVIEWER = {Wulf Rossmann},
URL = {http://www.numdam.org/item?id=ASENS_1979_4_12_1_1_0},
ZBLNUMBER = {0433.22006},
} -
[S11] D. Shelstad, "Base change and a matching theorem for real groups," in Noncommutative Harmonic Analysis and Lie Groups, New York: Springer-Verlag, 1981, vol. 880, pp. 425-482.
@incollection {S11, MRKEY = {0644843},
AUTHOR = {Shelstad, Diana},
TITLE = {Base change and a matching theorem for real groups},
BOOKTITLE = {Noncommutative Harmonic Analysis and {L}ie Groups },
VENUE={{M}arseille, 1980},
SERIES = {Lecture Notes in Math.},
VOLUME = {880},
PAGES = {425--482},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1981},
MRCLASS = {22E45 (10D40)},
MRNUMBER = {0644843},
MRREVIEWER = {Wen Ch'ing Winnie Li},
ZBLNUMBER = {0494.22007},
DOI = {10.1007/BFb0090419},
} -
[S12] D. Shelstad, "Endoscopic groups and base change ${\bf C}/{\bf R}$," Pacific J. Math., vol. 110, iss. 2, pp. 397-416, 1984.
@article {S12, MRKEY = {0726498},
AUTHOR = {Shelstad, Diana},
TITLE = {Endoscopic groups and base change {${\bf C}/{\bf R}$}},
JOURNAL = {Pacific J. Math.},
FJOURNAL = {Pacific Journal of Mathematics},
VOLUME = {110},
YEAR = {1984},
NUMBER = {2},
PAGES = {397--416},
ISSN = {0030-8730},
CODEN = {PJMAAI},
MRCLASS = {22E45 (22E46)},
MRNUMBER = {0726498},
MRREVIEWER = {Wulf Rossmann},
URL = {http://projecteuclid.org/euclid.pjm/1102710927},
ZBLNUMBER = {0488.22033},
} -
[V] V. S. Varadarajan, Harmonic Analysis on Reductive Lie Groups, New York: Springer-Verlag, 1977, vol. 576.
@book{V,
author={Varadarajan, V. S.},
TITLE={Harmonic Analysis on Reductive {L}ie Groups},
SERIES = {Lect. Notes in Math.},
VOLUME={576},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1977},
PAGES = {v+521},
MRCLASS = {22E45},
MRNUMBER = {0473111},
ZBLNUMBER = {0354.43001},
DOI = {10.1007/BFb0097814},
MRREVIEWER = {A. U. Klimyk},
} -
[W1] J-L. Waldspurger, "L’endoscopie tordue n’est pas si tordue," Mem. Amer. Math. Soc., vol. 194, iss. 908, p. x, 2008.
@article{W1,
author={Waldspurger, J-L.},
TITLE={L'endoscopie tordue n'est pas si tordue},
JOURNAL = {Mem. Amer. Math. Soc.},
FJOURNAL = {Memoirs of the American Mathematical Society},
VOLUME = {194},
YEAR = {2008},
NUMBER = {908},
PAGES = {x+261},
ISSN = {0065-9266},
CODEN = {MAMCAU},
MRCLASS = {22E50 (11R34 22E35)},
MRNUMBER = {2418405},
ZBLNUMBER = {1146.22016},
MRREVIEWER = {Anne-Marie H. Aubert},
}%%%% -
[W2] J-L. Waldspurger, Errata, 2009.
@misc{W2,
author={Waldspurger, J-L.},
TITLE={Errata},
URL={http://www.math.jussieu.fr/~waldspur/},
YEAR={2009},
} -
[Wall] N. R. Wallach, Real Reductive Groups. I, Boston, MA: Academic Press, 1988, vol. 132.
@book {Wall, MRKEY = {0929683},
AUTHOR = {Wallach, Nolan R.},
TITLE = {Real Reductive Groups. {I}},
SERIES = {Pure Appl. Math.},
VOLUME = {132},
PUBLISHER = {Academic Press},
ADDRESS = {Boston, MA},
YEAR = {1988},
PAGES = {xx+412},
ISBN = {0-12-732960-9},
MRCLASS = {22E46 (17B10 22-02 22E30)},
MRNUMBER = {0929683},
MRREVIEWER = {Roberto J. Miatello},
ZBLNUMBER = {0666.22002},
} -
[War] G. Warner, Harmonic Analysis on Semi-Simple Lie Groups. II, New York: Springer-Verlag, 1972, vol. 189.
@book {War, MRKEY = {0499000},
AUTHOR = {Warner, Garth},
TITLE = {Harmonic Analysis on Semi-Simple {L}ie Groups. {II}},
SERIES={Grundlehren Math. Wissen.},
VOLUME={189},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1972},
PAGES = {viii+491},
MRCLASS = {22E45 (22E30)},
MRNUMBER = {0499000},
MRREVIEWER = {Mitsuo Sugiura},
ZBLNUMBER = {0265.22021},
}
Full Article