Integration on product spaces and GL_n of a valuation field over a local field

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/144160We present elements of a theory of translation-invariant integration on finite dimensional vector spaces and on GL_n over a valuation field with local field as residue field. We then discuss the case of an arbitrary algebraic group. This extends the work of Fesenko.Number TheoryAlgebraic Geometry11S80 (Primary); 20G25, 20G05, 28C10 (Secondary)Integration on product spaces and GL_n of a valuation field over a local fieldtext