Explicit Fourier–Jacobi Haar-core evaluation and Abel limits
For a nonarchimedean local field with residue cardinality q > 2, this development evaluates a sum of three normalized Haar integrals of an explicit eight-term Weyl kernel defined from valuations of entries and two-by-two minors of a concrete 4 by 4 matrix. It proves measurability and Bochner integrability on the natural damped range, an explicit rational evaluation in the undamped interior, principal Abel convergence, and the whole signed special Abel limit at delta = plus or minus q^(-1/2). The Satake parameters are unitary and avoid the stated Weyl walls; the special quotient also excludes…
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