Spherical functions on a $\mathfrak {p}$-adic Chevalley group
Author:
I. G. Macdonald
Journal:
Bull. Amer. Math. Soc. 74 (1968), 520-525
DOI:
https://doi.org/10.1090/S0002-9904-1968-11989-5
MathSciNet review:
0222089
Full-text PDF Free Access
References | Additional Information
- François Bruhat, Sur une classe du sous-groupes compacts maximaux des groupes de Chevalley sur un corps ${\mathfrak p}$-adique, Inst. Hautes Études Sci. Publ. Math. 23 (1964), 45–74 (French). MR 179298 2. R. Godement, Introduction aux travaux de A. Selberg, Sém, Bourbaki 9 (1956-1957).
- Sigurđur Helgason, Differential geometry and symmetric spaces, Pure and Applied Mathematics, Vol. XII, Academic Press, New York-London, 1962. MR 0145455
- N. Iwahori and H. Matsumoto, On some Bruhat decomposition and the structure of the Hecke rings of ${\mathfrak p}$-adic Chevalley groups, Inst. Hautes Études Sci. Publ. Math. 25 (1965), 5–48. MR 185016
- F. I. Mautner, Spherical functions over ${\mathfrak P}$-adic fields. I, Amer. J. Math. 80 (1958), 441–457. MR 93558, DOI https://doi.org/10.2307/2372794
- Ichirô Satake, Theory of spherical functions on reductive algebraic groups over ${\mathfrak p}$-adic fields, Inst. Hautes Études Sci. Publ. Math. 18 (1963), 5–69. MR 195863
- Tsuneo Tamagawa, On Selberg’s trace formula, J. Fac. Sci. Univ. Tokyo Sect. I 8 (1960), 363–386. MR 123633
