Hecke duality relations of Jacobi forms
MFO Scientific ProgramResearch in Pairs 2007
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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.