Geometry & Topology Monographs 3 (2000) 255–262

DOI: 10.2140/gtm.2000.3.255

arXiv: math.NT/0012155

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

generalized Hecke algebras, higher local fields, Cherednik algebra

Mathematical Subject Classification

Primary: 43A99

References

Publication

Published: 10 December 2000

Authors