Fourier Transform and Residue Calculus

This lecture covers the detailed correction of exercises 3 and 4 from a recent test, focusing on finding a function and determining its convergence using residue theorem and simple element decomposition. The instructor explains the step-by-step process of calculating Fourier transforms using residue calculus, emphasizing the importance of verifying conditions and applying the appropriate method based on the given parameters. Through a thorough analysis of complex variables and polynomial functions, the lecture provides a comprehensive understanding of Fourier transforms and residue calculations in mathematical analysis.