Abstract
We develop the local Kuznetsov trace formula on a unitary group in two variables for an unramified quadratic extension of local, non-Archimedean fields E=F and compare it to a local relative trace formula on PGL.2; E/. To define the local distributions for the relative trace formula, we define a regularized local period integral and prove that it is a PGL.2; F/-invariant linear functional. By comparison of the two local trace formulas, we get an equality between a local PGL.2; F/-period and local Whittaker functionals.
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