Content deleted Content added
m +distinguish multiple-scale analysis |
Reverse https://en.wikipedia.org/w/index.php?title=Multiresolution_analysis&diff=prev&oldid=1264288719 due to LLM content. Tag: section blanking |
||
| (3 intermediate revisions by 3 users not shown) | |||
Line 6:
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\}\subset \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>
that satisfies certain [[self-similarity]] relations in time-space and scale-frequency, as well as [[Complete metric space|completeness]] and regularity relations.
| |||