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.

Thanks!

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- May 20th 2012, 11:32 AMkezmanMeasurable Functions
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.

Thanks! - May 20th 2012, 01:10 PMgirdavRe: Measurable Functions
Do you mean Borel or Lebesgue measurable? For the first question, write it as a limit of simple functions.

- May 22nd 2012, 07:05 AMkezmanRe: Measurable Functions
the definition of Measurable function with Lebesgue Measure.