J Austral Math Soc Ser A 46 pp415--422, 1989.

Fourier Inversion Formula for Discrete Nilpotent Groups

Tsuyoshi Kajiwara

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 boundded 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 definite function A(G) for such a small group.

1980 AMS Subject Classification (1985 Revision): 46L55

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Authors

Tsuyoshi Kajiwara

Department of Mathematics, College of Liberal Arts and Sciences, Okayama University, Tsushima, Okayama, Japan.