On an explicit formula for class-1 ”Whittaker functions” on \(GL_n\) over \(\mathfrak p\) -adic fields. (English) Zbl 0387.43002


43A22 Homomorphisms and multipliers of function spaces on groups, semigroups, etc.
11S45 Algebras and orders, and their zeta functions
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[1] Iwahori-Matsumoto: On some Bruhat decomposition and the structure of the Hecke rings of p-adic Chevalley groups. Publ. Math. I. H. E. S. NA 25. · Zbl 0228.20015
[2] H. Jacquet: Fonctions de Whittaker associees aux groupes de Chevalley. Bull. Soc. Math. France, 95, 243-309 (1967). · Zbl 0155.05901
[3] J. Shalika: The multiplicity one theorem for GLn. Ann. Math., 100, 171- 193 (1974). JSTOR: · Zbl 0316.12010
[4] T. Tamagawa: On the zeta function of a division algebra. Ann. Math., 77, 387-405 (1963). JSTOR: · Zbl 0222.12018
[5] H. Weyl: Classical Groups.
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