Finite-dimensional approximations of push-forwards on locally analytic functionals

ArXi:2404.10769v4 Announce Type: replace-cross This paper develops a functional-analytic framework for approximating the push-forward induced by an analytic map from finitely many samples. Instead of working directly with the map, we study the push-forward on the space of locally analytic functionals and identify it, via the Fourier--Borel transform, with an operator on the space of entire functions of exponential type.