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Rankin–Cohen Operators for Jacobi and Siegel Forms

✍ Scribed by YoungJu Choie; Wolfgang Eholzer

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
387 KB
Volume
68
Category
Article
ISSN
0022-314X

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✦ Synopsis

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 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.

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