Generalized Theta Functions. I
Mathematical Physics
2017-07-13 v1 math.MP
Applied Physics
Abstract
Generalizations of classical theta functions are proposed that include any even number of analytic parameters for which conditions of quasi-periodicity are fulfilled and that are representations of extended Heisenberg group. Differential equations for generalized theta functions and finite non-unitary representations of extended Heisenberg group are presented so as other properties and possible applications are pointed out such as a projective embedding of tori by means of generalized theta functions.
Cite
@article{arxiv.1707.03582,
title = {Generalized Theta Functions. I},
author = {Yuriy Smilyanets},
journal= {arXiv preprint arXiv:1707.03582},
year = {2017}
}