2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/144158We present elements of a theory of translation-invariant integration, measure, and harmonic analysis on a valuation field with local field as residue field. This extends the work of Fesenko. Applications to zeta integrals for two-dimensional local fields are then considered.Number TheoryAlgebraic Geometry11S80 (Primary); 11S40, 28C10, 20G05, 81Q30 (Secondary)text