Abstract
If \(k\in\frac{1}{2}\mathbb{N}\) , then let Mk(Γ0(4)) be the usual space of half integral weight modular forms. Ono constructed differential endomorphisms of Mk(Γ0(4)) by using the usual differential operator. Here we construct a similar set of differential endomorphisms using a linear combination of the differential operator and the quasi-modular forms E2, E2|V2, and E2|V4. We compute a full set of eigenforms with eigenvalues, and we prove that these endomorphisms are in fact automorphisms.
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