Poisson Problem: Fourier Transform Approach

This lecture covers the solution of the Poisson problem using the Fourier transform method, focusing on cases with and without source terms and boundary conditions. The instructor explains the derivation of solution formulas, the application of the superposition principle, and the uniqueness of solutions through a differential equation analysis. The lecture also touches on the Laplace transform and its relation to complex analysis, providing insights into solving differential equations over the real line.