Fourier / CONCEPT
MatrixGaussianTheta
For every natural rank r, real positive definite A and complex tau with positive imaginary part, theta A (-1/tau) equals (-i tau)^(r/2) divided by sqrt(det A), times theta (A^(-1)) tau. The power is principal and rank zero is included.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES3
PROOF DEPTH2
DOCUMENT LINKS0
Upper half-plane norm convergence
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- CoordinatePoissonstructural-affinity · Closed
- Full-charge canonical loop and finite-energy tracesstructural-affinity · Closed
- LatticeThetaTransformationstructural-affinity · Closed
- MatrixGaussianstructural-affinity · Closed
- MatrixGaussianPoissonstructural-affinity · Closed
- MatrixGaussianSecondMomentstructural-affinity · Closed
- Original lattice discriminant S, Weil and Milgram lawsstructural-affinity · Closed
- Original lattice discriminant theta sectorsstructural-affinity · Closed
Documents & exposition
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Other authored & advisory relationships
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LIBRARY / RELEASE VERSIONS
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