The HA-LCA route supplied with AN-01

The 17 HA-LCA lessons and ten prerequisite readings develop Fourier analysis on arbitrary locally compact abelian groups, with internal links to the supporting proofs.

The route to Poisson summation passes through finite Radon representation and products, Haar measure and integration, Hilbert and Banach spaces, positive type and Bochner representation, Fourier inversion and Plancherel, Pontryagin duality, quotient integration and lattice summation.

The general formula retains its representative, continuity, integrability and measure-normalization hypotheses. The one-dimensional proof and all solved problems in AN-01 U056 remain independent.

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Fremlin's original source packages with his licence, editable lesson sources and MathJax software/font notices are retained. The CC0 dedication of original AN-01 exposition does not relicense these components.