Spherical functions on a group of p-adic type Ian G. Macdonald, Anne-Marie Aubert

Format:

Book

Author/Creator:

Macdonald, I. G. (Ian Grant), author.

Aubert, Anne-Marie, author.

Series:

Lecture notes in mathematics (Springer-Verlag) ; 2392.

Lecture notes in mathematics (Springer-Verlag). History of mathematics subseries

Lecture notes in mathematics 1617-9692 volume 2392

History of mathematics subseries 2625-7157

Language:

English

Subjects (All):

Linear algebraic groups.

Spherical functions.

Physical Description:

1 online resource

Edition:

Second edition

Place of Publication:

Cham, Switzerland Springer [2026]

Summary:

"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"-- Springer Nature Link

Contents:

Basic properties of spherical functions

Groups of p-adic type

Spherical functions on a group of p-adic type

Calculation of the spherical functions

Plancherel measure

Notes:

Includes bibliographical references and index

Online resource; title from PDF title page (Springer Nature Link, viewed May 5, 2026)

Other Format:

Print version Macdonald, I. G. (Ian Grant) Spherical functions on a group of p-adic type

ISBN:

9783032156716

3032156718

OCLC:

1587117639

Access Restriction:

Restricted for use by site license