@article{CM_1993__86_3_245_0, author = {Goldberg, David}, title = {Reducibility of generalized principal series representations of $U(2, 2)$ via base change}, journal = {Compositio Mathematica}, pages = {245--264}, publisher = {Kluwer Academic Publishers}, volume = {86}, number = {3}, year = {1993}, mrnumber = {1219627}, zbl = {0788.22021}, language = {en}, url = {http://www.numdam.org/item/CM_1993__86_3_245_0/} }
TY - JOUR AU - Goldberg, David TI - Reducibility of generalized principal series representations of $U(2, 2)$ via base change JO - Compositio Mathematica PY - 1993 SP - 245 EP - 264 VL - 86 IS - 3 PB - Kluwer Academic Publishers UR - http://www.numdam.org/item/CM_1993__86_3_245_0/ LA - en ID - CM_1993__86_3_245_0 ER -
Goldberg, David. Reducibility of generalized principal series representations of $U(2, 2)$ via base change. Compositio Mathematica, Tome 86 (1993) no. 3, pp. 245-264. http://www.numdam.org/item/CM_1993__86_3_245_0/
1 On certain Dirichlet series associated with Hilbert modular forms and Rankin's method, Math. Ann. 226 (1977), 81-94. | MR | Zbl
,2 Representations of the group GL(n, F) where F is a local non-archimedean local field, Russian Math. Surveys 33 (1976), 1-68. | Zbl
and ,3 Automorphic L-functions, Proc. Sympos. Pure Math. 33 part 2 (1979), 27-61. | MR | Zbl
,4 Introduction to the theory of admissible representations of p-adic reductive groups, Preprint.
,5 Analytic Properties of Automorphic L-Functions, Perspectives in Mathematics, vol. 6, Academic Press, San Diego, CA, 1988. | MR | Zbl
and ,6 Harmonic analysis on reductive p-adic groups, Proc. Sympos. Pure Math. 26 (1973), 167-192. | MR | Zbl
,7 The Plancherelformulafor reductive p-adic groups, in Collected Papers, vol. IV, Springer-Verlag, New York, Heidelberg, Berlin, 1984, 353-367.
,8 A note on hermitian forms, Bull. Amer. Math. Soc. 46 (1940), 264-268. | JFM | MR | Zbl
,9 Cuspidal geometry of p-adic groups, J. Analyse Math. 47 (1986), 1-36. | MR | Zbl
,10 Äquivalenze Hermitscher Formen über einem beliebigen algebraischen Zahlkörper, Abh. Math. Sem. Univ. Hamburg 11 (1936), 245-248. | JFM | Zbl
,11 Automorphic Representations of Unitary Groups in Three Variables, Annals of Math. Studies, no. 123, Princeton University Press, Princeton, NJ, 1990. | MR | Zbl
,12 On certain L-functions, Amer. J. Math. 103 (1981), 297-355. | MR | Zbl
,13 On the Ramanujan conjecture and finiteness of poles for certain L-functions, Ann. of Math. (2) 127 (1988), 547-584. | MR | Zbl
,14 A proof of Langlands conjecture for Plancherel measures; complementary series for p-adic groups, Ann. of Math. (2) 132 (1990), 273-330. | MR | Zbl
,15 Twisted endoscopy and reducibility of induced representations for p-adic groups, Duke Math. J. 66 (1992), 1-41. | MR | Zbl
,16 Introduction to Harmonic Analysis on Reductive p-adic Groups, Mathematical Notes, no. 23, Princeton University Press, Princeton, NJ, 1979. | MR | Zbl
,17 Linear Algebraic Groups, Birkhäuser Boston, Cambridge, MA, 1981. | MR | Zbl
,18 On L-functions and intertwining operators for unitary groups, Israel J. Math. 73 (1991), 161-188. | MR | Zbl
,19 Number theoretic background, Proc. Sympos. Pure Math. 33 part 2 (1979), 3-26. | MR | Zbl
,20 Reducibility of principal series representations of p-adic Chevalley groups, Amer. J. Math. 100 (1978), 941-956. | MR | Zbl
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