Spherical Functions on a Group of p-adic Type

von Ian G. Macdonald, Anne-Marie Aubert

146 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: Lecture Notes in Mathematics
• Themen: Mathematik und Naturwissenschaften Mathematik Gruppen und Gruppentheorie
• ISBN: 9783032156709
• Sprache: Englisch
• Erscheinungsdatum: 28.04.2026
• Größe: 23.5 x 15.5 cm
• Verlag: Springer International Publishing