English

Integration on valuation fields over local fields

Number Theory 2007-12-14 v1 Algebraic Geometry

Abstract

We 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.

Keywords

Cite

@article{arxiv.0712.2172,
  title  = {Integration on valuation fields over local fields},
  author = {Matthew T. Morrow},
  journal= {arXiv preprint arXiv:0712.2172},
  year   = {2007}
}
R2 v1 2026-06-21T09:53:45.282Z