Multiresolution analysis: Difference between revisions

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Definition: specify what kind of spaces they are
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== Definition ==
 
A ''multiresolution analysis'' of the [[Lp space|Lebesgue space]] <math>L^2(\mathbb{R})</math> consists of a [[sequence]] of nested [[linear subspace|subspaces]]
 
::<math>\{0\}\dots\subset V_1\subset V_0\subset V_{-1}\subset\dots\subset V_{-n}\subset V_{-n+1}\subset\dots\subset L^2(\R)</math>