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
This work introduces author's approach to harmonic analysis on algebraic
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.
Department of mathematics, University of Toronto,
Toronto M5S 3G3, Canada
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