 Sokhotski–Plemelj theorem

ID: sokhotski-plemelj-theorem

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Codex  0 Created 2026-09-28 Updated 2026-10-05

\frac{1}{x \pm i 0} = PV \frac{1}{x} \mp iπ δ (x) .

(1)

The Sokhotski--Plemelj formula relates the two boundary values of a Cauchy transform across its contour and fixes the spectral delta functions generated by retarded and advanced prescriptions.

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