Fourier / CONCEPT
Actual cosine-integral high-pass operators
The positive cosine-integral kernel is the actual L2 limit of the finite cutoffs. Its ordinary convolution and original Gaussian weighted integral operator inherit the high-pass bound.
Closed
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES0
PROOF DEPTH20
DOCUMENT LINKS2
Exact cutoff error and every real cutoff filter
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
None recorded in this release.
RELATED KNOWLEDGE
Structural connections
- A Uniform Cosine-Sum Remainderstructural-affinity · Closed
- Archimedean Jump Decompositionstructural-affinity · Closed
- Finite Fourier Window Approximationstructural-affinity · Closed
- Gaussian frequency integrationstructural-affinity · Closed
- Gaussian Weighting of the Cosine-Integral Gram Productstructural-affinity · Closed
- Gaussian-weighted integral operatorsstructural-affinity · Closed
- Observer-Mode Critical Kernelstructural-affinity · Closed
- Prime Jump Decompositionstructural-affinity · Closed
- The Cosine-Integral Gram Integralstructural-affinity · Closed
- The Finite Cosine Cutoff Kernelstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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