Generalized Fourier Transforms for Momentum-Space Construction on Riemannian Manifolds

Seramika Ariwahjoedi, Muhammad Farchani Rosyid, Andika Kusuma Wijaya

We extend Fourier analysis to curved spaces by defining a Generalized Fourier Transform (GFT) on any Riemannian manifold $\Sigma$ via spectral decomposition. Under minimal requirements…