Bajjou Youssef

Certified Hermite transmutation of C-regularized cosine functions: optimal scaling, intrinsic conditioning, and reconstruction from noisy heat snapshots

The Hermite expansion of an exponentially bounded $C$-regularized cosinefunction (Ameziane Hassani et al., 2024) reconstructs the whole solutionfamily of $u''=Wu$ from a single snapshot of the associated heat semigroup:a transmutation from diffusion to waves. We develop its compl...