RANKIN–COHEN TYPE DIFFERENTIAL OPERATORS FOR SIEGEL MODULAR FORMS
1998 ◽
Vol 09
(04)
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pp. 443-463
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Let ℍn be the Siegel upper half space and let F and G be automorphic forms on ℍn of weights k and l, respectively. We give explicit examples of differential operators D acting on functions on ℍn × ℍn such that the restriction of [Formula: see text] to Z = Z1 = Z2 is again an automorphic form of weight k + l + v on ℍn. Since the elliptic case, i.e. n = 1, has already been studied some time ago by R. Rankin and H. Cohen we call such differential operators Rankin–Cohen type operators. We also discuss a generalisation of Rankin–Cohen type operators to vector valued differential operators.
2001 ◽
Vol 55
(2)
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pp. 369-385
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Keyword(s):
Keyword(s):
1993 ◽
Vol 19
(2)
◽
pp. 251-297
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2012 ◽
Vol 12
(3)
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pp. 571-634
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1991 ◽
Vol 121
◽
pp. 35-96
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1997 ◽
Vol 147
◽
pp. 71-106
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