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Math Help - Measurable Functions

  1. #1
    Member kezman's Avatar
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    Measurable 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!
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  2. #2
    Super Member girdav's Avatar
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    Re: Measurable Functions

    Do you mean Borel or Lebesgue measurable? For the first question, write it as a limit of simple functions.
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  3. #3
    Member kezman's Avatar
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    Re: Measurable Functions

    the definition of Measurable function with Lebesgue Measure.
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