Lectures related to Generalized Fourier series

Explores trigonometric Fourier series, spectrum of periodic signals, Hilbert interpretation, and complex Fourier series.

Explores cross-correlation, signal detection, Hilbert spaces, orthogonal approximation, and image compression using DCT.

Explores the convergence of Fourier series in L² space with trigonometric polynomials and approximation theorems.

Explores orthogonal sinusoids, Fourier coefficients, spectrum of signals, and complex Fourier series.

Covers the calculation of Fourier coefficients for periodic complex signals and the concept of a complete orthonormal system.

Covers the measurement of observable eigenvalues and the importance of complete orthonormal sets.

Covers the concept of the spectrum in quantum physics, including invertibility, eigenvalues, and observables.