Matching of relative orbital integrals on PGL(3) and metaplectic orbital integrals on the triple cover of SL(3) is established for the full spherical Hecke algebras.
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On the cubic Shimura lift to $PGL(3)$: Hecke correspondences
Matching of relative orbital integrals on PGL(3) and metaplectic orbital integrals on the triple cover of SL(3) is established for the full spherical Hecke algebras.