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No analytic continuation. No asymptotics. If a finite uniform window positivity (UWP) holds on a Fejér–Yukawa kernel, RH follows.

This short paper proves a conditional route to RH based solely on a finite, computable positivity condition. The argument requires no zero-free regions and no global continuation of ζ(s)—everything happens inside a bounded convolution window. It is a minimal, checkable bridge between prime distributions and harmonic analysis via the Fejér–Yukawa kernel.