Rankin-Cohen Operators for Jacobi and Siegel Forms

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dc.creatorChoie, Y.
dc.creatorEholzer, W.
dc.date1996-11-26
dc.date.accessioned2026-07-07T09:07:06Z
dc.date.available2026-07-07T09:07:06Z
dc.descriptionFor any non-negative integer v we construct explicitly [v/2]+1 independent covariant bilinear differential operators from J_{k,m} x J_{k',m'} to J_{k+k'+v,m+m'}. As an application we construct a covariant bilinear differential operator mapping S_k^{(2)} x S^{(2)}_{k'} to S^{(2)}_{k+k'+v}. Here J_{k,m} denotes the space of Jacobi forms of weight k and index m and S^{(2)}_k the space of Siegel modular forms of degree 2 and weight k. The covariant bilinear differential operators constructed are analogous to operators already studied in the elliptic case by R. Rankin and H. Cohen and we call them Rankin-Cohen operators.
dc.description15 pages LaTeX2e using amssym.def
dc.identifierhttps://arxiv.org/abs/alg-geom/9611032
dc.identifierhttp://arxiv.org/abs/alg-geom/9611032
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/150247
dc.subjectAlgebraic Geometry
dc.titleRankin-Cohen Operators for Jacobi and Siegel Forms
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