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

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.

References in corpus (2)

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

Cited by in corpus (1)

• Is there an analytic theory of automorphic functions for complex algebraic curves?