Classification of the space spanned by theta series and applications
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- by YoungJu Choie and Olav K. Richter PDF
- Proc. Amer. Math. Soc. 135 (2007), 2309-2315 Request permission
Abstract:
We determine a class of functions spanned by theta series of higher degree. We give two applications: A simple proof of the inversion formula of such theta series and a classification of skew-holomorphic Jacobi forms.References
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Additional Information
- YoungJu Choie
- Affiliation: Department of Mathematics, Pohang University of Science and Technology, Pohang, 790-784, Korea
- Email: yjc@postech.ac.kr
- Olav K. Richter
- Affiliation: Department of Mathematics, University of North Texas, Denton, Texas 76203
- ORCID: 0000-0003-3886-0893
- Email: richter@unt.edu
- Received by editor(s): August 4, 2004
- Received by editor(s) in revised form: March 9, 2006
- Published electronically: March 14, 2007
- Additional Notes: The first author was partially supported by KOSEF R01-2003-00011596-0 and ITRC
- Communicated by: Juha M. Heinonen
- © Copyright 2007 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 135 (2007), 2309-2315
- MSC (2000): Primary 14K25; Secondary 11F50, 11F03
- DOI: https://doi.org/10.1090/S0002-9939-07-08706-0
- MathSciNet review: 2302551