Abstract
A parametrization is given of the local theta correspondence attached to the reductive dual pair ( SL 2 ( F ) , O ( F ) ) ({\text {SL}}_2(F),\;{\text {O}}(F)) where F F is a nonarchimedean local field of odd residual characteristic and O {\text {O}} is the orthogonal group of a ternary quadratic form which is anisotropic over F F . The parametrization is in terms of inducing data. Various lattice models of the oscillator representation are used.
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