Noncommutative harmonic analysis

Related lectures (11)

Explores trigonometric polynomials, emphasizing Fourier inversion and Plancherel formulas.

Explores the convergence of Fourier series in L² space with trigonometric polynomials and approximation theorems.

Covers the Fourier series representation of periodic signals and harmonic analysis.

Explores Schwerte functions in harmonic analysis, emphasizing compact support and function convergence.

Covers the properties and convolution of the Fourier transform.

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

Explores the uniqueness of Fourier representations for continuous functions, demonstrating that coefficients must be equal if two valid series exist.

Explores Lebesgue measure, Fourier analysis, PDE applications, and optimal transport in PDEs.

Explores Fourier analysis, including reconstruction formula, Fourier series, and spectrum interpretation.

Covers the concept of uniform convergence of Fourier series and Dirichlet's theorem application.

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

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