Base change for ≈SL2

Gelbart, 1983, Some remarks on metaplectic cusp forms and the correspondence of Shimura and Waldspurger, Israel J. Math., 44, 97, 10.1007/BF02760615

Howe, 1979, θ-series and invariant theory. Automorphic Forms, Representations, and L-functions, 33, 275

Jacquet, 1970, Automorphic Forms on GL(2), 10.1007/BFb0058988

Langlands, 1980, Base change for GL(2)

Piatetski-Shapiro, 1984, Work of Waldspurger, 280

Waldspurger, 1980, Correspondance de Shimura, J. Math. Pures Appl., 59, 1

J. L. Waldspurger, Correspondance de Shimura et quaternions, preprint.