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Harmonic analysis on the quotient spaces of Heisenberg groups

Published online by Cambridge University Press:  22 January 2016

Jae-Hyun Yang
Jae-Hyun Yang*
Affiliation:
Department of Mathematics, Inha University, Incheon, 402-752, Republic of Korea
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A certain nilpotent Lie group plays an important role in the study of the foundations of quantum mechanics ([Wey]) and of the theory of theta series (see [C], [I] and [Wei]). This work shows how theta series are applied to decompose the natural unitary representation of a Heisenberg group.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 123 , September 1991 , pp. 103 - 117
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1991

References

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[M] Morikawa, H., Some results on harmonic analysis on compact quotients of Heisenberg groups, Nagoya Math. J., 99 (1985), 45–62.CrossRefGoogle Scholar
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