The bounded spherical functions the free two-step nilpotent Lie group

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

In this paper, we give the expressions for the bounded spherical functions, or equivalently the spherical functions of positive type, for the free two-step nilpotent Lie groups endowed with the actions of orthogonal groups or their special subgroups. Next we deduce some results about the (Kohn) sub-Laplacian, and we compute the radial Plancherel measure.

Original languageEnglish
Pages (from-to)351-370
Number of pages20
JournalJournal of Lie Theory
Volume16
Issue number2
Publication statusPublished - 3 Feb 2006

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Nilpotent Lie Group
Spherical Functions
Plancherel Measure
Sub-Laplacian
Orthogonal Group
Deduce
Subgroup

Keywords

  • Gelfand pair
  • Nilpotent Lie group
  • Representation theory
  • Spherical function

ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this

The bounded spherical functions the free two-step nilpotent Lie group. / Fischer, Véronique.

In: Journal of Lie Theory, Vol. 16, No. 2, 03.02.2006, p. 351-370.

Research output: Contribution to journalArticle

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