Fourier inversion formula for discrete nilpotent groups

Tsuyoshi Kajiwara

Research output: Contribution to journalArticlepeer-review


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 - Jun 1989

ASJC Scopus subject areas

  • Mathematics(all)


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