Lectures related to Fourier inversion theorem

Explores trigonometric polynomials, emphasizing Fourier inversion and Plancherel formulas.

Explains Ewald summation, self-interaction correction, and short-range interaction calculations.

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

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

Covers the theory of electromagnetic waves and provides a detailed understanding of wave propagation.

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

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

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

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

Covers Abbe's theory, Fourier terms, diffraction orders, and numerical aperture in microscopy resolution.

Explores the Fourier Transform inversion formula and its applications in signal processing.

Explores Ewald summation for long-range interactions and self-interaction correction in Fourier space and real space.

Covers the properties of signal/data representations using Fourier transformations and matrices.

Explores Fourier integral series, non-periodic signals, and signal transformation in engineering and mathematics.

Explores the Fourier integral series, convergence, non-periodic signals, symmetry relations, and practical applications in signals & systems.

Covers exercises and key lemmas related to the Hilbert transform.

Covers the encoding of spatial information in MRI through the scanning of k-space sequentially.

Explores the Dirac delta, Fourier integral, and Fourier transform applications in solving PDE problems.

Explores Ewald summation for electrostatic Coulomb energy in periodic systems, emphasizing the importance of Gaussian screening charges.

Explores the canonical approach to quantum theory and working in Fourier space.