Spherical Functions on a Group of p-adic Type (Lecture Notes in Mathematics 2392) （2. Aufl. 2026. Approx. 150 p. 235 mm）

Macdonald, Ian G./Aubert, Anne-Marie

SPRINGER, BERLIN; RAMANUJAN INSTITUTE, UNIVERSITY OF（2026/05発売）

• 製本 Paperback:紙装版/ペーパーバック版
• 言語 ENG
• 商品コード 9783032156709

Full Description

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.

Contents

Introduction. I Basic properties of spherical functions.- II Groups of p-adic type.- III Spherical functions on a group of p-adic type.- IV Calculation of the spherical functions.- V Plancherel measure.