Separation of singularities for the Bergman space and reachable space of the heat equation

Abstract: Let $\Omega_1$ and $\Omega_2$ be two open sets of the complex plane with non empty intersection. The separation of singularities problem can be stated as follows: if $f$ belongs to the Bergman space of $\Omega_1 \cap \Omega_2$, can we find $f_1$ and $f_2$ belonging respectively to the Bergman spaces of $\Omega_1$ and $\Omega_2$, such that $f= f_1 + f_2$? In this talk, we will see general settings in which the previous question has a positive answer and we will apply these results to the description of the reachable space of the heat equation. Joint work with Andreas Hartmann.

analysis of PDEsclassical analysis and ODEsfunctional analysisprobabilityspectral theory

Audience: researchers in the discipline

Quebec Analysis and Related Fields Graduate Seminar