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Rankin’s method and jacobi forms

✍ Scribed by Y. Choie; W. Kohnen

Publisher
Vandenhoeck & Ruprecht
Year
1997
Tongue
German
Weight
343 KB
Volume
67
Category
Article
ISSN
0025-5858

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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

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In this paper, the analogy of Bol's result to the several variable function case is discussed. One shows how to construct Siegel modular forms and Jacobi forms of higher degree, respectively, using Bol's result.

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✍ Ralf Schmidt 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 211 KB

Certain ``index shifting operators'' for local and global representations of the Jacobi group are introduced. They turn out to be the representation theoretic analogues of the Hecke operators U d and V d on classical Jacobi forms, which underlie the theory of Jacobi old-and newforms. Further analogu