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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Analysis on the Heisenberg manifold


Author: Richard Tolimieri
Journal: Trans. Amer. Math. Soc. 228 (1977), 329-343
MSC: Primary 22E25
DOI: https://doi.org/10.1090/S0002-9947-1977-0447473-8
MathSciNet review: 0447473
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Abstract: A study of the function theory on the Heisenberg manifold in terms of theta functions. Subject to an explicit error, a $ {C^\infty }$-function is written as an infinite sum, with theta functions of different degrees and characteristics playing the same role as exponentials do in the abelian theory.


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DOI: https://doi.org/10.1090/S0002-9947-1977-0447473-8
Keywords: Theta functions, Heisenberg group
Article copyright: © Copyright 1977 American Mathematical Society