Residual automorphic representations of Sp4
Keyword(s):
Let G = Sp4 be the symplectic group of degree two defined over an algebraic number field F and K the standard maximal compact subgroup of the adele group G (A). By the general theory of Eisenstein series ([14]), one knows that the Hilbert space L2(G(F)\G(A)) has an orthogonal decomposition of the formL2(G(F)\G(A)) = L2(G) ⊕ L2(B) ⊕ L2(P1) ⊕ L2(P1),where B is a Borel subgroup and Pi are standard maximal parabolic subgroups in G for i = 1,2. The purpose of this paper is to study the space L2d(B) associated to discrete spectrurns in L2(B).
1997 ◽
Vol 62
(2)
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pp. 160-174
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2019 ◽
Vol 72
(1)
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pp. 183-201
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1999 ◽
Vol 66
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pp. 331-357
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2011 ◽
Vol 09
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pp. 1449-1457
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2008 ◽
Vol 38
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pp. 956-961
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1968 ◽
Vol 305
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pp. 27-53