Spherical Functions on a Group of p-adic Type
Second Edition 2026
Book Details
Format
Paperback / Softback
Book Series
Lecture Notes in Mathematics
ISBN-10
303215670X
ISBN-13
9783032156709
Edition
Second Edition 2026
Publisher
Springer Nature Switzerland AG
Imprint
Springer Nature Switzerland AG
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Apr 28th, 2026
Print length
146 Pages
Weight
298 grams
Dimensions
23.30 x 15.60 x 1.10 cms
Product Classification:
AlgebraGroups & group theoryGroups and group theoryComplex analysis, complex variables
Ksh 9,900.00
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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.
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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