Abstract
A. Weil introduced in 1964 theta functions on locally compact commutative groups (cf.[5]III). It is shown here that the use of certain function spaces on such a groupG, and the consideration of theta functions on the productG×G, gives some insight into the structures involved, also in connection with Poisson's formula.
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Reiter, H. Theta functions and symplectic groups. Monatshefte für Mathematik 97, 219–232 (1984). https://doi.org/10.1007/BF01299149
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DOI: https://doi.org/10.1007/BF01299149