## Duke Mathematical Journal

### $P$-adic measures for spherical representations of reductive $P$-adic groups

Michael Harris

#### Article information

Source
Duke Math. J., Volume 49, Number 3 (1982), 497-512.

Dates
First available in Project Euclid: 20 February 2004

https://projecteuclid.org/euclid.dmj/1077315377

Digital Object Identifier
doi:10.1215/S0012-7094-82-04928-6

Mathematical Reviews number (MathSciNet)
MR672495

Zentralblatt MATH identifier
0497.22022

Subjects
Primary: 22E50: Representations of Lie and linear algebraic groups over local fields [See also 20G05]
Secondary: 12B30

#### Citation

Harris, Michael. $P$ -adic measures for spherical representations of reductive $P$ -adic groups. Duke Math. J. 49 (1982), no. 3, 497--512. doi:10.1215/S0012-7094-82-04928-6. https://projecteuclid.org/euclid.dmj/1077315377

#### References

• [B-T] F. Bruhat and J. Tits, Groupes réductifs sur un corps local, Inst. Hautes Études Sci. Publ. Math. (1972), no. 41, 5–251.
• [H] M. Harris, Systematic growth of Mordell-Weil groups of abelian varieties in towers of number fields, Invent. Math. 51 (1979), no. 2, 123–141.
• [M] B. Mazur, Arithmetic in the geometry of symmetric spaces, preprint.
• [Mac] I. G. Macdonald, Spherical functions on a group of $p$-adic type, Ramanujan Institute, Centre for Advanced Study in Mathematics,University of Madras, Madras, 1971.
• [M-S] B. Mazur and P. Swinnerton-Dyer, Arithmetic of Weil curves, Invent. Math. 25 (1974), 1–61.
• [Sa] I. Satake, Theory of spherical functions on reductive algebraic groups over $\germ p$-adic fields, Inst. Hautes Études Sci. Publ. Math. (1963), no. 18, 5–69.
• [C] P. Cartier, Representations of $p$-adic groups: a survey, Automorphic forms, representations and $L$-functions (Proc. Sympos. Pure Math., Oregon State Univ., Corvallis, Ore., 1977), Part 1, Proc. Sympos. Pure Math., XXXIII, Amer. Math. Soc., Providence, R.I., 1979, pp. 111–155.