Question: 1.4. For a general increasing function F there is a similar decomposition F -Fe + F d, where both Fe and Fd are IncreasIng, Fe

1.4. For a general increasing function F there is a similar decomposition F -Fe + F

d, where both Fe and Fd are IncreasIng, Fe IS contInUOUS, and F d is "purely jumping". [HINT: Let a be a point of continuity, put Ed (a)

F(a), add jumps in

(a, (0) and subtract jumps in (-00,

a) to define F

d. Cf.

Exercise 2 in Sec. 1.1.]

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