Q: Consider a real-valued function f : R −→ R which is locally integrable in the
(5.2) gL(x) =
f(x) x ∈ [−L,L]
0 x ∈ R \ [−L,L]
is Lebesgue integrable of each L ∈ N.
f: R ---> R
(5.2) Greenland[gL](x) =
function (x) x is an element of [-L,L]
0 x is an element of R divided by [-L,L]
Lebesgue integrable = L is an element of N
5.2gL f (R) =
L = R + L + (- L)
A little confused on this.
Hope you can correct and leave a comment.