TWISTED MELLIN TRANSFORMS OF A REAL ANALYTIC RESIDUE OF SIEGEL–EISENSTEIN SERIES OF DEGREE 2
2009 ◽
Vol 20
(08)
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pp. 1011-1027
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Keyword(s):
We study a residual form of a real analytic Siegel–Eisenstein series, which generates a certain derived functor module occurring in a degenerate principal series representation. We compute its Mellin transforms twisted by various Maass wave forms to get explicit formulas as our results. We apply them to prove meromorphic continuations together with functional equations which are satisfied by those twisted Mellin transforms.
2007 ◽
Vol 143
(01)
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pp. 222-256
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1995 ◽
Vol 71
(7)
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pp. 154-157
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1980 ◽
Vol 8
(6)
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pp. 543-583
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Keyword(s):
2002 ◽
Vol 54
(4)
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pp. 828-865
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2009 ◽
Vol 61
(2)
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pp. 395-426
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2015 ◽
Vol 16
(3)
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pp. 609-671
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