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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Classification of the space spanned by theta series and applications


Authors: YoungJu Choie and Olav K. Richter
Journal: Proc. Amer. Math. Soc. 135 (2007), 2309-2315
MSC (2000): Primary 14K25; Secondary 11F50, 11F03
Published electronically: March 14, 2007
MathSciNet review: 2302551
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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.


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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
Email: richter@unt.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-07-08706-0
PII: S 0002-9939(07)08706-0
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
Article copyright: © Copyright 2007 American Mathematical Society