Fractional Fourier transform

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Covers the calculation of paths in a graph, focusing on amplitude-weighted paths.

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

Provides an overview of Fourier and Laplace transforms, their properties, and applications in signal analysis.

Covers the properties and convolution of the Fourier transform.

Explores solving the Poisson problem using Fourier transform, discussing source terms, boundary conditions, and solution uniqueness.

Covers the Fourier Transform, essential for analyzing stable LTI systems through complex exponentials.

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

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

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

Explores Fourier transformation, sign function, Dirac pulse, series development, and periodic signal synthesis.