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Spherical Harmonics on the Heisenberg Group

Published online by Cambridge University Press:  20 November 2018

Peter C. Greiner
Peter C. Greiner*
Affiliation:
Department of Mathematics, University of Toronto, Toronto, Canada M5S 1A1
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H1. Equip ℝ3 with the group law

(1.1)

where (z, t) stands for (x, y, t). This is a nilpotent Lie group, usually referred to as the first Heisenberg group, H1. In general Hk denotes ℝ2k+1 equipped with a similar group law, namely

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 23 , Issue 4 , 01 December 1980 , pp. 383 - 396
Copyright
Copyright © Canadian Mathematical Society 1980

References

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