Geometry & Topology Monographs 3 (2000) - Invitation to higher local fields, Part II, section 5, pages 255-262

Harmonic analysis on algebraic groups over two-dimensional local fields of equal characteristic

M. Kapranov

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.
AMS subject classification. 43A99.

E-print: arXiv:math.NT/0012155

Mikhail Kapranov
Department of mathematics, University of Toronto, Toronto M5S 3G3, Canada

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