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# Category Archives: Fourier analysis

## Fourier analysis on LCA

Pontryagin duality compactness-discreteness duality time-frequency considerations Haar measure Bochner-Khinchin theorem, etc. Fourier inversion theorem Plencherel theorem decay-smoothness duality Paley-Wiener-Schwartz theorem uncertainty principle maximal ideals of Banach-algebra considerations Reference: Walter Rudin, Fourier analysis on groups. Advertisements

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