Multiresolution analysis: Difference between revisions

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A ''multiresolution analysis'' of the [[Lp space|space]] <math>L^2(\mathbb{R})</math> consists of a [[sequence]] of nested [[linear subspace|subspaces]]

:<math>\dots\subset V_0\subset V_1\subset\dots\subset V_n\subset V_{n+1}\subset\dots\subset L^2(\R)</math>

that satisfies certain self-similarity relations in time/space and scale/frequency, as well as [[completeness]] and regularity relations.