 Jordan decomposition of a function of bounded variation

ID: jordan-decomposition-of-a-function-of-bounded-variation

Codex  0 Created 2026-09-24 Updated 2026-10-07

f

V_{f}

for its cumulative total variation, one may take

f_{+} = \frac{V _{f} + f}{2}, f_{-} = \frac{V _{f} - f}{2},

up to constants chosen for the desired normalization.

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