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Lebesgue measure

   Also found in: Wikipedia 0.01 sec.
Lebesgue measure [lə′beg ‚mezh·ər]
(mathematics)
A measure defined on subsets of euclidean space which expresses how one may approximate a set by coverings consisting of intervals.


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introduces Lebesgue integration by offering straightforward problems that demonstrate regulated and Riemann integrals, Lebesgue measures and integrals, the integral of unbounded functions, classical Fourier series and ergodic transformations.
d] whose Fourier transform has support set C, then the minimal sampling density (sample values per unit volume) for stable recovery of f is m(C), the Lebesgue measure of C.
 
 
 
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