  It is known that the Lyapunov exponent of analytic 1-frequency quasiperiodic
cocycles is continuous in cocycle and, when the frequency is irrational,
jointly in cocycle and frequency. In this paper, we extend a result of Bourgain
to show the same continuity result for multifrequency quasiperiodic
$M(2,\mathbb{C})$ cocycles. Our corollaries include applications to
multifrequency Jacobi cocycles with periodic background potentials.
