Harmonic analysis on local fields and adelic spaces II

Details Harmonic analysis on local fields and adelic spaces II Harmonic analysis on local fields and adelic spaces II

2009-12-08

arxiv.org/abs/0912.1577v2

Izvestiya: Mathematics, 2011, 75:4, pp. 749-814

Mathematics

Algebraic Geometry

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

Scientific paper

10.1070/IM2011v075n04ABEH002552

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.

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