Hi, math geniuses, Im having trouble with these two real analysis problems.
1) F Measurable, h in R, prove that g(x) = f(x+h) is measurable.
2) f continuous in almost every point. => f is measurable.
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Do you mean Borel or Lebesgue measurable? For the first question, write it as a limit of simple functions.
the definition of Measurable function with Lebesgue Measure.
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