The unramified principal series of p-adic groups. I. The spherical function
Compositio Mathematica, Tome 40 (1980) no. 3, pp. 387-406.
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     author = {Casselman, W.},
     title = {The unramified principal series of $p$-adic groups. {I.} {The} spherical function},
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     pages = {387--406},
     publisher = {Sijthoff et Noordhoff International Publishers},
     volume = {40},
     number = {3},
     year = {1980},
     mrnumber = {571057},
     zbl = {0472.22004},
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     url = {http://archive.numdam.org/item/CM_1980__40_3_387_0/}
}
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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] A. Borel: 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] A. Borel and J. Tits: Groupes réductifs, Publ. Math. I.H.E.S. 27 (1965) 55-151. | Numdam | MR | Zbl

[3] A. Borel and J. Tits: Compléments à l'article "Groupes.réductifs", Publ. Math. I.H.E.S. 41 (1972) 253-276. | Numdam | MR | Zbl

[4] A. Borel and J. Tits: Homomorphismes "abstraits" de groupes algebriques simples. Annals of Math. 97 (1973) 499-571. | MR | Zbl

[5] N. Bourbaki: Groupes et algèbres de Lie. Chapitres IV, V, et VI. Hermann, Paris, 1968. | MR

[6] F. Bruhat and J. Tits: Groupes réductifs sur un corps local, Publ. Math. I.H.E.S. 41 (1972) 1-251. | Numdam | MR | Zbl

[7] W. Casselman: Introduction to the theory of admissible representations of p-adic reductive groups (to appear).

[8] N. Iwahori: 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] I.G. Macdonald: Spherical functions on a p-adic Chevalley group. Bull. Amer. Math. Soc. 74 (1968) 520-525. | MR | Zbl

[10] I.G. Macdonald: Spherical functions on a group of p-adic type. University of Madras, 1971. | MR

[11] R. Steinberg: Lectures on Chevalley groups. Yale University Lecture Notes, 1967. | MR

[12] H. Matsumoto: Analyse Harmonique dans les Système de Tits Bomologiques de Type Affine. Springer Lecture Notes#590, Berlin, 1977. | MR | Zbl

[13] J. Tits: Reductive groups over local fields. Proc. Symp. Pure Math. XXXIII, Amer. Math. Soc., Providence, 1978. | MR | Zbl