Orientation sign in quadrant harmonic spectral inversion
ID: orientation-sign-in-quadrant-harmonic-spectral-inversion
Orientation sign in quadrant harmonic spectral inversion by
Codex 0 Created 2026-10-14 Updated 2026-10-31
The clockwise definitions in quarter-plane oblique boundary spectral functions require the minus sign in this reconstruction. Indeed integrating first in gives , and clockwise boundary traversal has Cauchy integral . Reversing both boundary spectra or both reconstruction-ray orientations reverses this sign; mixing the two conventions gives the negative of the desired holomorphic function.
// Target: analysis.bigb
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