Generalized Shalika model on $\mathrm{SO}_{4n}(F),$ symplectic linear   model on $\mathrm{Sp}_{4n}(F)$ and theta correspondence
  We show that if an irreducible admissible representation of $\mathrm{SO}_{4n}(F)$ has a generalized Shalika model, then its small theta lift to $\mathrm{Sp}_{4n}(F)$ has the symplectic linear model, thus answering a question posed by D. Jiang. Here $F$ is a non-archimedean field of characteristic zero. 
Marcela Hanzer
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