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math-ph2026

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 via spectral decomposition. Under minimal requirements…