This lecture covers the Fourier integral series, including basic properties, fundamental signals, convergence, and non-periodic signals. It also discusses specific signals, weighting windows, correlation, and spectral energy density. The instructor explains the convergence of the Fourier integral, Dirichlet conditions, and the characteristics of non-periodic signals. Additionally, the lecture explores the Fourier transformation, symmetry relations, and the duality between direct and inverse transformations. Practical applications, linearity, and frequency multiplication are also addressed.