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

2007/12/13 by Matthew Morrow, Matthew T. Morrow, Morrow, Matthew T. · 1 citation
Mathematics · #11S80 (Primary) #20G05 #20G25 #28C10 (Secondary) #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Finite Group Theory Research #Number Theory (math.NT) #math.AG #math.NT #msc:11S80 #msc:20G05 #msc:20G25 #msc:28C10

paper · pdf · doi:10.48550/arxiv.0712.2175

arxiv created 2007/12/13 · openalex publication_date 2007/12/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We 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.

Citations

• Fubini's theorem and non-linear change of variables over a two-dimensional local field

Cited by

• Class field theory, its three main generalisations, and applications

Related

• Integration on valuation fields over local fields
• Integration in valued fields
• Measure and Integration on GL₂ over a Two-Dimensional Local Field
• Integration in power-bounded T-convex valued fields
• Integration in algebraically closed valued fields