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Spectral filter boundedness reference

Family 078: The three-dimensional Bochner–Riesz conjecture. First application triage, 9 October 2026 Australia/Brisbane.

Problem and potential new use

Signal-processing researchers can map Bochner–Riesz smoothing parameters to the claimed strict Lp admissibility region.

Applicability and commercial boundary

Existence of a continuum boundedness constant is not a finite filter response guarantee or an optimized convolution implementation.

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

Derive a finite-kernel comparison with baseline filters and explicit normalization.

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.

Bochner–Riesz multipliers in three dimensions.