The unramified principal series of $p$-adic groups. I. The spherical function

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1. [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. Zbl0334.22012MR444849
2. [2] A. Borel and J. Tits: Groupes réductifs, Publ. Math. I.H.E.S.27 (1965) 55-151. Zbl0145.17402MR207712
3. [3] A. Borel and J. Tits: Compléments à l'article "Groupes.réductifs", Publ. Math. I.H.E.S.41 (1972) 253-276. Zbl0254.14018MR315007
4. [4] A. Borel and J. Tits: Homomorphismes "abstraits" de groupes algebriques simples. Annals of Math.97 (1973) 499-571. Zbl0272.14013MR316587
5. [5] N. Bourbaki: Groupes et algèbres de Lie. Chapitres IV, V, et VI. Hermann, Paris, 1968. MR240238
6. [6] F. Bruhat and J. Tits: Groupes réductifs sur un corps local, Publ. Math. I.H.E.S.41 (1972) 1-251. Zbl0254.14017MR327923
7. [7] W. Casselman: Introduction to the theory of admissible representations of p-adic reductive groups (to appear). 
8. [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. Zbl0199.06901MR215858
9. [9] I.G. Macdonald: Spherical functions on a p-adic Chevalley group. Bull. Amer. Math. Soc.74 (1968) 520-525. Zbl0273.22012MR222089
10. [10] I.G. Macdonald: Spherical functions on a group of p-adic type. University of Madras, 1971. Zbl0302.43018MR435301
11. [11] R. Steinberg: Lectures on Chevalley groups. Yale University Lecture Notes, 1967. MR466335
12. [12] H. Matsumoto: Analyse Harmonique dans les Système de Tits Bomologiques de Type Affine. Springer Lecture Notes#590, Berlin, 1977. Zbl0366.22001MR579177
13. [13] J. Tits: Reductive groups over local fields. Proc. Symp. Pure Math. XXXIII, Amer. Math. Soc., Providence, 1978. Zbl0415.20035MR546588

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