Lectures related to Fourier Series: Examples

Covers Fourier series, periodic functions, and Fourier transforms.

Explores the Fourier transformation on L^2, emphasizing convergence and density in Fourier analysis.

Covers functions, including even and odd functions, periodicity, and function operations.

Covers mathematical concepts from number theory to probability and statistics.

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

Covers the extension and periodicity of Fourier series and the interpretation of coefficients.

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

Explores Fourier coefficients in trigonometric series, emphasizing even and odd functions.

Covers the definition and properties of convolution of two functions and explores radioactive material decay rates.

Explores the application of Fourier series and the challenges of using multiple methods to solve problems.

Explores the properties of Fourier transformations, including continuity, linearity, and derivatives.

Covers Fourier series for periodic functions and calculations involving Fourier coefficients.

Explores the Discrete Fourier Transform, Fast Fourier Transform, orthogonal functions, and trigonometric approximations.

Covers the concept of partial derivatives and their applications in mathematical analysis.

Explores the motivation behind Fourier series and transforms, their fundamentals, and applications in solving differential equations.

Covers Fourier series, Parseval identity, orthonormal basis, and Oude equation motivation.

Covers the integration of functions and Fourier series with examples and exercises.

Covers the concept of distance to the origin and functions in constrained domains.

Explores Fourier transforms, including properties, convolution, Parseval's theorem, and energy spectral density for non-periodic functions.

Discusses Laplace and Fourier transformations, focusing on their inversion formulas and applications in solving differential equations.