Uniqueness of Fourier Representations

Related lectures (31)

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Explores the pointwise convergence of Fourier series and its applications in optimal transport.

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

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

Explores Fourier series properties, calculations, convergence, and coefficient significance.

Explores Fourier analysis applications and the inversion formula in the context of periodicity and continuous functions.

Covers Fourier series, harmonic decomposition, and limit cycle prediction in dynamic systems.

Delves into the Fractal Uncertainty Principle for the Fourier transform and spectral gaps, including specialized cases for Cantor sets.

Explores input impedance, wave reflections, and Fourier analysis of arterial waves.

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

Introduces Fourier series, explaining their approximation properties and convergence, along with the Dirichlet theorem and coefficient computation.