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Bulletin of the American Mathematical Society

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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
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References [Enhancements On Off] (What's this?)

  • 1. F. Bruhat, Sur une classe de sous-groupes compacts maximaux des groupes de Chevalley sur un corps þ-adique, Inst. Hautes Etudes Sci. Publ. Math. 23 (1964), 46-74. MR 179298
  • 2. R. Godement, Introduction aux travaux de A. Selberg, Sém, Bourbaki 9 (1956-1957).
  • 3. S. Helgason, Differential geometry and symmetric spaces, Academic Press, New York, 1962. MR 145455
  • 4. N. Iwahori and H. Matsumoto, On some Bruhat decomposition and the structure of the Hecke rings of þ-adic Chevalley groups, Inst. Hautes Etudes Sci. Publ. Math. 25 (1965), 5-48. MR 185016
  • 5. F. I. Mautner, Spherical functions over þ-adic fields, Amer. J. Math. 80 (1958), 441-457. MR 93558
  • 6. I. Satake, Theory of spherical functions on reductive algebraic groups over þ-adic fields, Inst. Hautes Etudes Sci. Publ. Math. 18 (1963), 5-69. MR 195863
  • 7. T. Tamagawa, On Selberg's trace-formula, J. Fac. Sci. Univ. Tokyo 8 (1960), 363-386. MR 123633


Additional Information

DOI: https://doi.org/10.1090/S0002-9904-1968-11989-5

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