Weil / CONCEPT
Convolution-Square Positivity
The Fourier transform of a Weil convolution square is a nonnegative real norm square.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES6
PROOF DEPTH3
DOCUMENT LINKS1
Angular frequency matches mathlib Fourier frequency
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
- Actual Gamma form core: LineFouriertruth-dependency · Closed
- Archimedean Jump Decompositiontruth-dependency · Closed
- Cayley Moment Transporttruth-dependency · Closed
- Convolution-Square Critical-Line Splittruth-dependency · Closed
- Cosine-Modulated Packettruth-dependency · Closed
- Fixed-Scale Weil Quadratic Formtruth-dependency · Closed
RELATED KNOWLEDGE
Structural connections
- Actual Gamma form core: LineFourierstructural-affinity · Closed
- Archimedean Jump Decompositionstructural-affinity · Closed
- Cayley Moment Transportstructural-affinity · Closed
- Convolution-Square Critical-Line Splitstructural-affinity · Closed
- Cosine-Modulated Packetstructural-affinity · Closed
- Even Autocorrelationstructural-affinity · Closed
- Finite Paley-Wiener Interpolationstructural-affinity · Closed
- Fixed-Scale Weil Quadratic Formstructural-affinity · Closed
- Pole-Continuum Completionstructural-affinity · Closed
- Prime-Power Diffraction Atomstructural-affinity · Closed
- Weil: Fourier Laplacestructural-affinity · Closed
- Weil: Prime Pole Termsstructural-affinity · Closed
- Zero Orbit Cardinalitystructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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