Lectures related to Fourier Series: Properties and Calculations

Ewald Summation: Long-Range Interaction and Self-Interaction Correction

Explains Ewald summation, self-interaction correction, and short-range interaction calculations.

Harmonic Analysis: Classical Theory and Fourier Series

Covers classical harmonic analysis on the circle, Fourier series convergence, and applications in PDEs.

Explores Fourier analysis, PDEs, historical context, heat equation, Laplace equation, and periodic boundary conditions.

Unbounded and Bounded Systems: Fourier Methods

Explores the spectral properties of unbounded and bounded systems using Fourier methods and emphasizes the importance of choosing the correct representation for different boundary conditions.

Signals & Systems I: Fourier Transform and Dirac Pulse

Explores Fourier transformation, sign function, Dirac pulse, series development, and periodic signal synthesis.

Fourier Analysis: Fourier Series and Transform

Explores Fourier series, DFT, FFT, and their applications in signal processing and spectroscopy.

Real Functions: Definitions and Properties

Explores real functions, covering parity, periodicity, and polynomial functions.