2017/07/12 by Yuriy Smilyanets, Smilyanets, Yuriy
Chemistry · Mathematics · #14K25 (Primary) #22E70 #81R05 (Secondary) #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #Applied Physics (physics.app-ph) #FOS: Physical sciences #Mathematical Physics (math-ph) #Molecular spectroscopy and chirality
paper · pdf · doi:10.48550/arxiv.1707.03582
openalex publication_date 2017/07/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.