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Spherical Functions on a Group of p-adic Type - Ian G. Macdonald

Spherical Functions on a Group of p-adic Type

By: Ian G. Macdonald, Anne-Marie Aubert

eText | 26 April 2026 | Edition Number 2

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This is a new, updated edition of a foundational text on the representation theory of p-adic groups.   The book develops the theory of spherical functions for reductive groups defined over nonarchimedean local fields. It provides explicit formulas, studies their properties (positivity, normalization, etc.), and describes a pioneering construction of the spherical transform and the Plancherel formula. This theory underlies the modern theory of affine Hecke algebras, unramified representations of p-adic groups, and the local Langlands program.   This augmented and annotated edition makes a standard reference widely available to contemporary researchers in the representation theory of p-adic groups, automorphic forms, and harmonic analysis on locally compact groups.
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Non-FictionMathematicsAlgebraGroups & Group TheoryCalculus & Mathematical AnalysisTopology

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