Invitation to higher local fields, Part II, section 5: Harmonic analysis on algebraic groups over two-dimensional local fields of equal characteristic

Details Invitation to higher local fields, Part II, section 5: Harmonic analysis on algebraic groups over two-dimensional local fields of equal characteristic Invitation to higher local fields, Part II, section 5: Harmonic analysis on algebraic groups over two-dimensional local fields of equal characteristic

2000-12-18

arxiv.org/abs/math/0012155v1

Geom. Topol. Monogr. Volume 3(2000) 255-262

Mathematics

Number Theory

For introduction and notation, see math.NT/0012131 . Published by Geometry and Topology Monographs at http://www.maths.warwi

Scientific paper

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.

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