Trigonometric Polynomials: Fourier Inversion and Plancherel Formulas

Related lectures (28)

Page 1 of 3

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

Covers the Fourier inversion formula, exploring its mathematical concepts and applications, emphasizing the importance of understanding the sign.

Explores the Central Limit Theorem, convergence in law, characteristic functions, and moment problems in probability theory.

Covers the properties and applications of the Fourier transform and its relation to Heisenberg's uncertainty principle.

Explores Fourier series coefficients, periodicity, and series relations.

Covers the Fourier inversion formula and the Plancherel identity, emphasizing their importance in mathematical analysis.

Covers the properties and convolution of the Fourier transform.

Explores correlations of the Liouville function along deterministic and independent sequences, covering key concepts and theorems.

Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.

Explores finite dimensional spaces, covering extraction process, bases generation, and space completion.