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Abstract
Following the approach of B. Roberts, we characterize the non-vanishing of the global theta lift for symplectic-orthogonal dual pairs in terms of its local counterpart. In particular, we replace the temperedness assumption present in Robert's work by a certain weaker assumption, and apply our results to small rank similitude groups. Among our applications is a certain instance of Langlands functorial transfer of a (non-generic) cuspidal automorphic representation of GSp(4) to GL(4).
Received: 2008-12-11
Revised: 2010-04-20
Published Online: 2011-03-10
Published in Print: 2011-August
© Walter de Gruyter Berlin · New York 2011
