Fourier inversion formula for discrete nilpotent groups

Tsuyoshi Kajiwara

Research output: Contribution to journal › Article

Abstract

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
Volume46
Issue number3
DOIs
Publication statusPublished - 1989

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Fourier Algebra
Random Operators
Positive Definite Functions
Inversion Formula
Finitely Generated Group
Nilpotent Group
Discrete Group
Torsion-free
Countable
Fourier transform
Random variable

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Fourier inversion formula for discrete nilpotent groups. / Kajiwara, Tsuyoshi.

In: Journal of the Australian Mathematical Society, Vol. 46, No. 3, 1989, p. 415-422.

Research output: Contribution to journal › Article

Kajiwara, T 1989, 'Fourier inversion formula for discrete nilpotent groups', Journal of the Australian Mathematical Society, vol. 46, no. 3, pp. 415-422. https://doi.org/10.1017/S1446788700030901
Kajiwara T. Fourier inversion formula for discrete nilpotent groups. Journal of the Australian Mathematical Society. 1989;46(3):415-422. https://doi.org/10.1017/S1446788700030901
Kajiwara, Tsuyoshi. / Fourier inversion formula for discrete nilpotent groups. In: Journal of the Australian Mathematical Society. 1989 ; Vol. 46, No. 3. pp. 415-422.
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