Fubini's Theorem 1
- Let
.
·For
,
·For
,
·
measurable
·
measurable
·
- Consider
measurable, and 
for 
.
·For
,
is 
measurable as a function of 
.
·For
,
is 
measurable as a function of 
.
·
is a 
measurable function of 
·
is a 
measurable function of 
·
- Let
be a complex-valued,
measurable function in 
integrable in 
.
·For
,
is integrable in 
as a function of 
.
·For
,
is integrable in 
as a function of 
.
·
is integrable in 
as a function of 
.
·
is integrable in 
as a function of 
.
·
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