Harmonic analysis on local fields and adelic spaces II
Algebraic Geometry
2011-10-24 v2 Functional Analysis
Number Theory
Abstract
This paper is the second part of arXiv:0707.1766. We develope harmonic analysis in some categories of filtered abelian groups and vector spaces over the fields R or C. These categories contain as objects local fields and adelic spaces arising from arithmetical surfaces. Some structure theorems are proven for quotients of the adelic groups of algebraic and arithmetical surfaces.
Cite
@article{arxiv.0912.1577,
title = {Harmonic analysis on local fields and adelic spaces II},
author = {D. V. Osipov and A. N. Parshin},
journal= {arXiv preprint arXiv:0912.1577},
year = {2011}
}
Comments
78 pages; corrected misprints; to appear in Izvestiya: Mathematics