trureturingGitHub MATHEMATICAL ATLAS

Quantum / CONCEPT

Analytic matrix Pick kernels

Cauchy averaging proves full finite matrix-valued Caratheodory and Pick kernel positivity.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES1
PROOF DEPTH1
DOCUMENT LINKS0
THEOREM

Positivity from the actual Cauchy formula

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Shifted Herglotz CriterionShifted Herglotz CriterionAnalytic matrix Pick kernelsAnalytic matrix Pick kernelsAnalytic boundary Hankel positivityAnalytic boundary Hankelpositivity
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Lean sourceResearch workspace
Status
Closed
Depth
1
Layer
D5/S3
Domain
Quantum
Node ID
D5/S3/Quantum/Matrix/AnalyticPickKernel
Repository path
D5/S3/Quantum/Matrix/AnalyticPickKernel.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
Source commit
b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
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37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

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Dependency edges, status, and source coordinates come from the verified release and certified topology. Blueprint exposition is labeled separately. A fallback title carries no additional mathematical authority.