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
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Differential operators on Hermitian Jacobi forms
β Scribed by H. Kim
- Publisher
- Springer
- Year
- 2002
- Tongue
- English
- Weight
- 233 KB
- Volume
- 79
- Category
- Article
- ISSN
- 0003-889X
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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