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Residual automorphic representations of Sp4

Published online by Cambridge University Press:  22 January 2016

Takao Watanabe
Takao Watanabe*
Affiliation:
Department of Mathematics, College of General Education, Tohoku University, Kawauchi Sendai 980, Japan
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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 form

L2(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).

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 127 , September 1992 , pp. 15 - 47
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1992

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