Lectures related to Periodic summation

Explores trigonometric polynomials, emphasizing Fourier inversion and Plancherel formulas.

Explores ideal sampling, Fourier transformation, spectral repetition, and analog signal reconstruction.

Covers the fundamentals of signal sampling and reconstruction, including the sampling theorem and practical reconstruction systems.

Explores lattices in Rd, Gram matrices, theta functions, and modular properties.

Covers the Fourier Transform, properties, periodic signals, and digital signals.

Covers the Euler-Maclaurin summation formula and the method of convolution for evaluating arithmetic functions.

Covers the pentagonal number theorem, Jacobi identity, and modularity of eta and theta functions.

Covers the stability of discrete time periodic solutions and their properties.