Harmonic analysis on local fields and adelic spaces. II

Autor: Osipov, Denis V, Parshin, Aleksei N
Zdroj: Izvestiya: Mathematics; August 2011, Vol. 75 Issue: 4 p749-814, 66p
Abstrakt: We develop harmonic analysis in certain categories of filtered Abelian groups and vector spaces. The objects of these categories include local fields and adelic spaces arising from arithmetic surfaces. We prove some structure theorems for quotients of the adele groups of algebraic and arithmetic surfaces.
Databáze: Supplemental Index