English

Measure and Integration on $GL_2$ over a Two-Dimensional Local Field

Number Theory 2019-02-11 v1

Abstract

We define a translation-invariant measure and integral on GL2GL_2 over a two-dimensional local field FF by combining elements of the classical GL2GL_2 theory and the theory developed by Fesenko for the field FF itself. We give several alternate expressions for the integral, including one which agrees with the integral defined previously by Morrow.

Cite

@article{arxiv.1902.02899,
  title  = {Measure and Integration on $GL_2$ over a Two-Dimensional Local Field},
  author = {Raven Waller},
  journal= {arXiv preprint arXiv:1902.02899},
  year   = {2019}
}

Comments

31 pages

R2 v1 2026-06-23T07:35:12.951Z