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Differential operators on Hermitian Jacobi forms

✍ Scribed by H. Kim


Publisher
Springer
Year
2002
Tongue
English
Weight
233 KB
Volume
79
Category
Article
ISSN
0003-889X

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Differential Operators on Jacobi Forms o
✍ YoungJu Choie; Haesuk Kim πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 196 KB

In this paper we study the Rankin Cohen type bilinear differential operators, more generally, multilinear differential operators on the space of Jacobi forms on H\_C n as well as on the space of modular forms on the orthogonal group O(2, n+2). These types of Jacobi forms have been studied by Gritsen

Rankin–Cohen Operators for Jacobi and Si
✍ YoungJu Choie; Wolfgang Eholzer πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 387 KB

As an application we construct a covariant bilinear differential operator mapping S (2) k \_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 ope