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Theta functions on tube domains

  • Josef F. Dorfmeister
  • Sebastian Walcher
Article
  • 119 Downloads

Abstract

We discuss generalizations of classical theta series, requiring only some basic properties of the classical setting. As it turns out, the existence of a generalized theta transformation formula implies that the series is defined over a quasi-symmetric Siegel domain. In particular the exceptional symmetric tube domain does not admit a theta function.

Keywords

Theta series Siegel domain Convex cone Jordan algebra 

Mathematics Subject Classification

11F27 32M15 17C50 32N05 

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Copyright information

© The Author(s) 2017

Authors and Affiliations

  1. 1.Fakultät für MathematikTU MünchenGarchingGermany
  2. 2.Mathematik ARWTH AachenAachenGermany

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