Fourier Series: Properties and Examples

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Related lectures (28)

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Fourier Series and Equations

Covers Fourier series, periodic functions, and Fourier transforms.

Probability and Statistics

Covers mathematical concepts from number theory to probability and statistics.

Fourier Coefficients: Trigonometric Series

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

Continuous Functions: Integrability and Examples

Explores continuous functions and integrability through practical examples.

Fourier Series: Examples

Explores examples of Fourier series coefficients and applications in various functions.

Transformations and Inversions: Laplace and Fourier

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

Fourier Series: Convergence and Dirichlet Theorem

Covers Fourier series convergence, Dirichlet theorem, and applications in signal processing.

Discrete Fourier Transform: Lecture 12

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

Distribution & Interpolation Spaces

Explores distribution and interpolation spaces, showcasing their importance in mathematical analysis and the computations involved.

Functions Composition: Continuity & Elements

Covers the composition of functions, continuity, and elementary functions, explaining the concept of continuity and the construction of elementary functions.