Harmonic analysis on local fields and adelic spaces II

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.

78 pages; corrected misprints; to appear in Izvestiya: Mathematics

References in corpus (2)

• n-dimensional local fields and adeles on n-dimensional schemes
• Harmonic analysis on local fields and adelic spaces I

Cited by in corpus (1)

• Unramified two-dimensional Langlands correspondence