Heisenberg manifolds and theta functions

Author:

Tolimieri R.

Abstract

The algebraic structure of the ( 2 n + 1 ) (2n + 1) -dimensional Heisenberg group naturally induces a special class of differential operators whose solutions ( D f = 0 ) (Df = 0) are related to classical theta function theory.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference8 articles.

1. Translation-invariant subspaces in 𝐿² of a compact nilmanifold. I;Auslander, L.;Invent. Math.,1973

2. Die Grundlehren der mathematischen Wissenschaften, Band 194;Igusa, Jun-ichi,1972

3. Interscience Tracts in Pure and Applied Mathematics, No. 10;Jacobson, Nathan,1962

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