Analysis on the Heisenberg manifold

Tolimieri, Richard

doi:10.1090/S0002-9947-1977-0447473-8

Analysis on the Heisenberg manifold
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Trans. Amer. Math. Soc. 228 (1977), 329-343 Request permission

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.

References

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