Papers of Rebecca A. Herb

• Characters Formulas for Discrete Series on Semisimple Lie Groups, Nagoya Math. Journal, Vol. 64 (1976), 47-6l.
• A Uniqueness Theorem for Tempered Invariant Eigendistributions, Pacific Journal of Math., Vol. 67, No. l (1976), 203-208.
• (with N. R. O'Brian), A Characterization of Unipotent, Semisimple, and Regular Elements in a Reductive Algebraic Group, Bulletin of the London Math. Society, Vol. 8 (1976), 233-238.
• (with P. Sally), Singular Invariant Eigendistributions as Characters, Bulletin of the AMS, Vol. 83, No. 1 (1977), 252-254.
• Fourier Inversion of Invariant Integrals on Semisimple Real Lie Groups, Transactions of the AMS, Vol. 249, No. 2 (1979), 281-302.
• (with P. Sally), Singular Invariant Eigendistributions as Characters in the Fourier Inversion of Orbital Integrals, Journal of Functional Analysis, Vol. 33, No. 2 (1979), 195-210.
• Characters of Averaged Discrete Series on Semisimple Real Lie Groups, Pacific Journal of Math., Vol. 80, No. 1 (1979), 169-177.
• Fourier inversion and the Plancherel theorem, Proceedings of Conference on Non-Commutative Harmonic Analysis on Lie Groups, 1980. SLN 880, Springer-Verlag, 1981, 197-210.
• Discrete Series Character Identities and Fourier Inversion, 1980 Seminar on Harmonic Analysis, CMS Conference Proceedings, Vol. 1, AMS, 1981, 93-98.
• Fourier Inversion and the Plancherel Theorem for Semisimple Real Lie Groups, Amer. J. Math., Vol. 104, No. 1 (1982), 9-58.
• An inversion formula for weighted orbital integrals, Compositio Math., Vol. 47, No. 3 (1982), 333-354.
• The Plancherel Theorem for semisimple groups without compact Cartan subgroups, Non-Commutative Harmonic Analysis and Lie Groups, Proceedings, Marseille Luminy 1982, SLN 1020,Springer-Verlag, 1983, 73-79.
• Weighted orbital integrals, Representation Theory of Reductive Groups, Proceedings of the University of Utah Conference, 1982, Birkhauser, 1983, 153-158.
• Discrete Series Characters and Fourier Inversion on Semisimple Real Lie Groups, Trans. AMS, Vol. 277, No. 1 (1983), 241-262.
• Characters of induced representations and weighted orbital integrals, Pacific J. Math., Vol. 114, No. 2 (1984), 367-375.
• Weighted orbital integrals on SL(2, R), Analyse Harmonique sur les Groupes de Lie et les espaces symetriques, Actes du colloque du Kleebach, 1983, Memoire de la Societe Mathematique de France, Torre 112/ Fascicule 2, 1984, 201-218.
• (with P. Sally, J. Arthur) The Fourier transform of weighted orbital integrals on SL(2, R), Proceedings of Conference on the Selberg Trace Formula, Cont. Math., vol. 53, AMS, Providence, RI, 1986.
• (with J. Wolf) Plancherel Theorem for the universal cover of the conformal group, Proceedings, International Symposium on Conformal Groups and Structures, 1985, Clausthal, Germany, Springer Lecture Notes in Physics, Vol. 261, Springer-Verlag, (1986), 227-243.
• (with J. Wolf) The Plancherel Theorem for general real semisimple Lie groups, Compositio Math., 57 (1986), 271-355.
• (with J. Wolf) Rapidly decreasing functions on real semisimple Lie groups, Compositio Math., 58 (1986), 73-110.
• (with J. Wolf) Wave packets for the relative discrete series, I: The holomorphic case, J. Fun. Anal., 73 (1987), 1-37.
• (with J. Wolf) Wave packets for the relative discrete series, II: The non-holomorphic case, J. Fun. Anal., 73 (1987), 38-106.
• (with J. Wolf) The Schwartz space of a general semisimple group I: Wave packets of Eisenstein integrals, Advances in Math., 80 (1990), 164-224.
• The Schwartz space of a general semisimple group II: Wave packets associated to Schwartz functions, Trans. AMS, Vol. 327, No. 1 (1991), 1-69.
• Harish-Chandra and his work, Bulletin of the AMS, vol. 25, No. 1 (1991), 1-17.
• The Schwartz space of a general semisimple Lie group, Harmomic Analysis on Reductive Groups, (Brunswick, ME, 1989), Prog. Math., 101, Birkhauser, Boston, 1991, 201-208.
• The Schwartz space of a general semisimple Lie group IV: elementary mixed wave packets, Compositio Math., 84 (1992), 115-209.
• The Schwartz space of a general semisimple group III: c-Functions, Advances in Math. 99 (1993), 1-25.
• Elliptic representations for Sp(2n) and SO(n), Pacific J., 161 (1993), 347-358.
• Unipotent orbital integrals of Hecke functions for GL(n), Canadian J. Math., 46 (1994), 308-323.
• Supertempered virtual characters, Compositio Math., 93 (1994), 139-154.
• Matching theorems for twisted orbital integrals, Pacific J., 117 (1995), 409-428.
• (With Guy Henniart) Automorphic induction for GL(n) (over local non-archimedean fields), Duke J., 78 (1995), 131-192.
• The Schwartz space of a general semisimple Lie group V: Schwartz class wave packets, Pacific J. of Math.,174 (1996), 43-139.
• (with David Goldberg) Some Results on the Admissible Representations of Non-connected Reductive p-adic groups, Ann. Sci. Ecole Norm, Sup., 30 (1997), 97-146.
• Discrete Series characters and two-structures, Transactions of the AMS, 350 (1998), 3341-3369.
• Stable discrete series characters as lifts from complex two-structure groups, to appear, Pacific J. of Math, 196 (2000), 187-212.
• Two-structures and discrete series character formulas, Proceedings of Symposia in Pure Mathematics, Vol. 68, A.M.S. Providence RI, 2000, 285-319.
• Elementary introduction to Harish-Chandra's work, Proceedings of Symposia in Pure Mathematics, Vol. 68, A.M.S. Providence RI, 2000, 59-75.
• Discrete series characters as lifts from two-structure groups, Transactions AMS, 353 (2001), 2557-2599.
• Orbital integrals on p-adic Lie algebras, Canadian J. Math, 52 (2000). 1192-1220.
• Bounds for Fourier transforms of regular orbital Integrals on p-adic Lie algebras, Representation Theory 5 (2001), 504-523.

Last modified, Feb. 1, 2000