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Classification of the space spanned by theta series and applications
Author(s):
YoungJu
Choie;
Olav
K.
Richter
Journal:
Proc. Amer. Math. Soc.
135
(2007),
2309-2315.
MSC (2000):
Primary 14K25;
Secondary 11F50, 11F03
Posted:
March 14, 2007
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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.
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
Email:
richter@unt.edu
DOI:
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
Posted:
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 of article:
Copyright
2007,
American Mathematical Society
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