Harmonic analysis and representation theory for groups acting on homogeneous trees

Author(s)

• Figà-Talamanca, Alessandro
• Nebbia, Claudio

Bibliographic Information

Harmonic analysis and representation theory for groups acting on homogeneous trees

Alessandro Figà-Talamanca and Claudio Nebbia

（London Mathematical Society lecture note series, 162）

Cambridge University Press, 1991

Note

Includes bibliographical references (p. 138-143) and index

Description and Table of Contents

Description

These notes treat in full detail the theory of representations of the group of automorphisms of a homogeneous tree. The unitary irreducible representations are classified in three types: a continuous series of spherical representations; two special representations; and a countable series of cuspidal representations as defined by G.I. Ol'shiankii. Several notable subgroups of the full automorphism group are also considered. The theory of spherical functions as eigenvalues of a Laplace (or Hecke) operator on the tree is used to introduce spherical representations and their restrictions to discrete subgroups. This will be an excellent companion for all researchers into harmonic analysis or representation theory.

Table of Contents

• Chapter 1
• Chapter 2
• Chapter 3
• Appendix

by "Nielsen BookData"

Details

• NCID: BA12787125
• ISBN:
  • 0521424445
• Country Code: uk
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Cambridge [Eng.]
• Pages/Volumes: ix, 151 p.
• Size: 23 cm
• Classification:
  • NDC8 : 411.6
• Subject Headings:
  • LCSH : Harmonic analysis
• Parent Bibliography ID:
  • BA0005393X