Fourier inversion formula for discrete nilpotent groups

Tsuyoshi Kajiwara

doi:10.1017/S1446788700030901

Fourier inversion formula for discrete nilpotent groups

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 language	English
Pages (from-to)	415-422
Number of pages	8
Journal	Journal of the Australian Mathematical Society
Volume	46
Issue number	3
DOIs	https://doi.org/10.1017/S1446788700030901
Publication status	Published - 1989

ASJC Scopus subject areas

Mathematics(all)

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10.1017/S1446788700030901

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Kajiwara, T. (1989). Fourier inversion formula for discrete nilpotent groups. Journal of the Australian Mathematical Society, 46(3), 415-422. https://doi.org/10.1017/S1446788700030901

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