Fourier inversion formula for discrete nilpotent groups

Research output: Contribution to journalArticle


Let G be a countable torsion free finitely generated nilpotent group. Then the Fourier transform can be considered as a map from the space of bounded degree 1 random operators to the Fourier algebra A(G). In this paper, we recover the matrix elements of a positive random variable from the corresponding positive definite function in A(G) for such a group. 1980 Mathematics subject classification (Amer. Math. Soc.): 46 L 55.

Original languageEnglish
Pages (from-to)415-422
Number of pages8
JournalJournal of the Australian Mathematical Society
Issue number3
Publication statusPublished - 1989

ASJC Scopus subject areas

  • Mathematics(all)

Fingerprint Dive into the research topics of 'Fourier inversion formula for discrete nilpotent groups'. Together they form a unique fingerprint.

  • Cite this