Measurable Function
In the measure space
, consider
are real numbers.If
is the sum of a finite number of sets, then
is denominated simple function.
If
is a real number and 
, then 
is denominated measurable function.Properties
Let
be a real number. We have
Complex function
If
is a complex function defined in 
and both its real and imaginary parts are measurable, then 
is a measurable function.[0]Top