Hecke duality relations of Jacobi forms
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OWP2008_03.pdf (344.3Kb)Date
2008-03-07MFO Scientific Program
Research in Pairs 2007Series
Oberwolfach Preprints;2008,03Metadata
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Abstract
In this paper we introduce a new subspace of Jacobi forms of higher degree via certain relations among Fourier coefficients. We prove that this space can also be characterized by duality properties of certain distinguished embedded Hecke operators. As explicit examples we give Eisenstein series. Conversly we show the existence of forms that are not contained in this space.
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