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
Email: kapranov@math.toronto.edu
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