Heisenberg Groups, Theta Functions and the Weil Representation

Details Heisenberg Groups, Theta Functions and the Weil Representation Heisenberg Groups, Theta Functions and the Weil Representation

2009-05-12

arxiv.org/abs/0905.1865v2

Mathematics

Number Theory

138 pages: correction of many typos

Scientific paper

In this manuscript, we develope the theory of harmonic analysis on the
Heisenberg group G of high dimension. We investigate the theta functions and
the Weil representation related to this Heisenberg group and describe the
connection among them.

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