Several-complex-variables infrastructure #
This umbrella imports finite-dimensional complex analyticity, polydisc Cauchy formulas and
series, locally bounded Osgood, coordinate derivatives and Cauchy–Riemann equations, locally
uniform limits and their derivatives, compact-open holomorphic function spaces, Montel's theorem,
and analytic parameter-dependent integrals. Taylor coefficients, convergence and remainder
estimates allow separate radii in each coordinate.
The modules are independent of the simplex-measure and Carlson developments. Their public
statements give the precise hypotheses of the infrastructure listed above; selected
Mathlib-based statement counterparts are proved in LeanPool.CarlsonFunctions.Solution.
The pinned upstream audit guide distinguishes these supporting results from
its selected Carlson and Dirichlet-average claims.