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Math Help - Lebesgue integral

  1. #1
    GTO
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    Lebesgue integral

    here is what i wanted to clarify for a long time but could find the answer.
    when they say g is a integrable function over a measurable set, it is \int g < \infty or \int |g| < \infty? i ve seen the definition that says a nonnegative measurable function g is called integrable if \int g< \infty. but when they do not say anything about g being nonnegative but g is integrable, what can be assumed? \inf g < \infty or \int |g| < \infty?
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  2. #2
    Moo
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    f is integrable iff \int |f| ~ d\mu <\infty
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