Fourier Series: Properties and Applications

Related lectures (31)

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Discusses the Fourier transform and its application to solving differential equations, focusing on the wave equation and its transformations.

Explains the basics of Fourier transform and demonstrates its application through examples, including periodic functions and Fourier Transform Pairs.

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

Covers Fourier transformation and its application in optical detection using the concept of the Fourier house.

Covers Fourier series, periodic functions, and Fourier transforms.

Offers a recap of Fourier Analysis, focusing on key concepts and formulas.

Covers the Fourier transform in Analysis IV, discussing Fourier series and solutions for various problems.

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

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

Covers the concept of Fourier series and their practical applications in signal processing.