@article{CM_1980__40_3_387_0, author = {Casselman, W.}, title = {The unramified principal series of $p$-adic groups. {I.} {The} spherical function}, journal = {Compositio Mathematica}, pages = {387--406}, publisher = {Sijthoff et Noordhoff International Publishers}, volume = {40}, number = {3}, year = {1980}, mrnumber = {571057}, zbl = {0472.22004}, language = {en}, url = {http://archive.numdam.org/item/CM_1980__40_3_387_0/} }
TY - JOUR AU - Casselman, W. TI - The unramified principal series of $p$-adic groups. I. The spherical function JO - Compositio Mathematica PY - 1980 SP - 387 EP - 406 VL - 40 IS - 3 PB - Sijthoff et Noordhoff International Publishers UR - http://archive.numdam.org/item/CM_1980__40_3_387_0/ LA - en ID - CM_1980__40_3_387_0 ER -
%0 Journal Article %A Casselman, W. %T The unramified principal series of $p$-adic groups. I. The spherical function %J Compositio Mathematica %D 1980 %P 387-406 %V 40 %N 3 %I Sijthoff et Noordhoff International Publishers %U http://archive.numdam.org/item/CM_1980__40_3_387_0/ %G en %F CM_1980__40_3_387_0
Casselman, W. The unramified principal series of $p$-adic groups. I. The spherical function. Compositio Mathematica, Tome 40 (1980) no. 3, pp. 387-406. http://archive.numdam.org/item/CM_1980__40_3_387_0/
[1] Admissible representations of a semi-simple group over a local field with vectors fixed under an Iwahori subgroup. Inventiones Math. 35 (1976) 233-259. | MR | Zbl
:[2] Groupes réductifs, Publ. Math. I.H.E.S. 27 (1965) 55-151. | Numdam | MR | Zbl
and :[3] Compléments à l'article "Groupes.réductifs", Publ. Math. I.H.E.S. 41 (1972) 253-276. | Numdam | MR | Zbl
and :[4] Homomorphismes "abstraits" de groupes algebriques simples. Annals of Math. 97 (1973) 499-571. | MR | Zbl
and :[5] Groupes et algèbres de Lie. Chapitres IV, V, et VI. Hermann, Paris, 1968. | MR
:[6] Groupes réductifs sur un corps local, Publ. Math. I.H.E.S. 41 (1972) 1-251. | Numdam | MR | Zbl
and :[7] Introduction to the theory of admissible representations of p-adic reductive groups (to appear).
:[8] Generalized Tits systems on p-adic semi-simple groups, in Algebraic Groups and Discontinuous Subgroups. Proc. Symp. Pure Math. IX. A.M.S., Providence, 1966. | MR | Zbl
:[9] Spherical functions on a p-adic Chevalley group. Bull. Amer. Math. Soc. 74 (1968) 520-525. | MR | Zbl
:[10] Spherical functions on a group of p-adic type. University of Madras, 1971. | MR
:[11] Lectures on Chevalley groups. Yale University Lecture Notes, 1967. | MR
:[12] Analyse Harmonique dans les Système de Tits Bomologiques de Type Affine. Springer Lecture Notes#590, Berlin, 1977. | MR | Zbl
:[13] Reductive groups over local fields. Proc. Symp. Pure Math. XXXIII, Amer. Math. Soc., Providence, 1978. | MR | Zbl
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