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Some results on harmonic analysis on compact quotients of heisenberg groups

Published online by Cambridge University Press:  22 January 2016

Hisasi Morikawa
Hisasi Morikawa*
Affiliation:
Department of Mathematics, Faculty of Science, Nagoya University, Chikusa-ku, Nagoya 464, Japan
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Heisenberg group H2g+1(R) of dimension 2g + 1 is a real nilpotent group defined on R × Rg × Rg by the law of composition

which is isomorphic to the unipotent matrix group

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 99 , September 1985 , pp. 45 - 62
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1985

References

[ 1 ] Bargmann, V., On a Hilbert space of analytic functions and an associated integral transform I, Comm. Pure Appi. Math., 14 (1961), 187–214.Google Scholar
[ 2 ] Igusa, J., Theta functions, Springer, 1972.Google Scholar
[ 3 ] Morikawa, H., A decomposition theorem on differential polynomials of theta functions, Nagoya Math. J., 96 (1984), 113–126.CrossRefGoogle Scholar
[ 4 ] Satake, I., Fock representations and theta functions, Ann. Math. Studies, 66, Princeton Univ. Press (1971), 393–405.Google Scholar