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Fourier convergence assumption reference
Family 075: The $L\log L$ Fourier-convergence conjecture. First application triage, 9 October 2026 Australia/Brisbane.
Problem and potential new use
Signal-analysis researchers can record when full-sequence almost-everywhere convergence is claimed for L log L data.
Applicability and commercial boundary
Almost-everywhere convergence supplies no finite truncation rate, uniform error or guarantee for every sample location. A finite FFT already computes a different finite object.
Initial business decision
Research or conditional engineering only until an effective implementation and a recurring buyer problem are identified. No commercial demand or profitability is established. Where a direct product bridge is weak, the legitimate use is a research reference or evidence adapter, rather than a new standalone company.
Next verification action
Identify a numerical workflow requiring this exact regularity and a separate error theorem.
Evidence scope
The catalog statement was individually reviewed. The manuscript proof and selected formal statement have not yet been compared in depth for this family. No independent proof verification was run. Pinned source revision fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb. See source metadata.