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Fourier inversion formula for discrete nilpotent groups

Part of: Selfadjoint operator algebras

Published online by Cambridge University Press:  09 April 2009

Tsuyoshi Kajiwara
Tsuyoshi Kajiwara
Affiliation:
Department of Mathematics, College of Liberal Arts and Sciences, Okayama UniversityTsushima, Okayama, Japan
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Abstract

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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.

MSC classification

Secondary: 46L55: Noncommutative dynamical systems
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 46 , Issue 3 , June 1989 , pp. 415 - 422
Copyright
Copyright © Australian Mathematical Society 1989

References

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