Invitation to higher local fields, Part II, section 5: Harmonic analysis on algebraic groups over two-dimensional local fields of equal characteristic
Number Theory
2009-09-25 v1 Algebraic Geometry
Abstract
This work introduces author's approach to harmonic analysis on algebraic groups over functional two-dimensional local fields. For a two-dimensional local field a Hecke algebra which is formed by operators which integrate pro-locally-constant complex functions over a non-compact domain is defined and its properties are described.
Keywords
Cite
@article{arxiv.math/0012155,
title = {Invitation to higher local fields, Part II, section 5: Harmonic analysis on algebraic groups over two-dimensional local fields of equal characteristic},
author = {Mikhail Kapranov},
journal= {arXiv preprint arXiv:math/0012155},
year = {2009}
}
Comments
For introduction and notation, see math.NT/0012131 . Published by Geometry and Topology Monographs at http://www.maths.warwick.ac.uk/gt/GTMon3/m3-II-5.abs.html