Harmonic analysis and representation theory for groups acting on homogeneous trees

著者

• Figà-Talamanca, Alessandro
• Nebbia, Claudio

書誌事項

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

注記

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

内容説明・目次

内容説明

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.

目次

• Chapter 1
• Chapter 2
• Chapter 3
• Appendix

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BA12787125
• ISBN:
  • 0521424445
• 出版国コード: uk
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Cambridge [Eng.]
• ページ数/冊数: ix, 151 p.
• 大きさ: 23 cm
• 分類:
  • NDC8 : 411.6
• 件名:
  • LCSH : Harmonic analysis
• 親書誌ID:
  • BA0005393X