ABSTRACT

C O N V E R SIO N O F L E B E SG U E -ST IE L T JE S IN T E G R A L S IN T O L E B E SG U E IN T E G R A L S

§9.1 B anach ’s In d ica trix T heorem . The B anach ind ica trix of a function h is the function N

on R with N(y) the number of points t in the domain of h such that h(t) — y. So 0 < N(y) < oo with N = 0 outside the range of h. Let x be the identity x(y) = y for all y in R.