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arxiv: math/0012155 · v1 · submitted 2000-12-18 · 🧮 math.NT · math.AG

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

classification 🧮 math.NT math.AG
keywords localfieldstwo-dimensionalalgebraicanalysisgroupsharmonicalgebra
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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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