I am studying a function whose Fourier transform is zero on a set of strictly positive Lebesgue measure and I need to know this:
If a set has a strictly positive Lebesgue measure can we prove that it contains an interval?
Help is much appreciated
[Math] Does a set with strictly positive Lebesgue measure contain an interval
lebesgue-measuremeasure-theory
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Best Answer
The irrationals are an easy example of not having this property.