MEASURE THEORY ON GLd OVER A HIGHER-DIMENSIONAL LOCAL FIELD
2023 年 77 巻 2 号 p. 271-290
詳細
2023 年 77 巻 2 号 p. 271-290
The aims of this paper are expansions of the measure theory in Fesenko (Amer. Math. Soc, Transl. Ser. 2 219 (2006)) and Waller (New York J. Math. 25 (2019), 396-442). We define countably additive translation-invariant measures and integrals on product spaces of F and of GLd(F), and on a parabolic subgroup of GLd(F). Moreover, we will prove that measurable functions on these product spaces are repeatedly integrable.
