Fourier Analysis: Inversion Formula and Periodic Functions

Related lectures (32)

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Covers determinantal point processes, sine-process, and their extrapolation in different spaces.

Covers Fourier series, periodic functions, and Fourier transforms.

Explores scaling and renormalization in statistical mechanics, emphasizing critical points and invariant properties.

Covers the design of wavelets using Fourier transform and procedures for selecting wavelet functions.

Explores the application of Stokes' theorem to surfaces and vector spaces in Fourier analysis.

Covers Fourier coefficients, periodic functions, Fourier transform, and convolution product applications in signal processing.

Covers the representation of signals using Fourier transforms and the properties of signal vectors.

Focuses on the inverse Fourier transform, verification, and properties.

Covers the Fourier transform inversion formula with examples and exercises for verification.

Explores Fourier optics, diffraction principles, Fourier analysis, and the application of Fourier transform in optics.