Haar System
In functional analysis, the Haar system denotes the set of Haar wavelets
In Hilbert space terms, this constitutes a complete orthogonal system for the functions on the unit interval. There is a related Rademacher system of sums of Haar functions, which is an orthogonal system but not complete.
The Haar system (with the natural ordering) is further a Schauder basis for the space for . This basis is unconditional for p > 1.
Read more about this topic: Haar Wavelet
Famous quotes containing the word system:
“In a universe that is all gradations of matter, from gross to fine to finer, so that we end up with everything we are composed of in a lattice, a grid, a mesh, a mist, where particles or movements so small we cannot observe them are held in a strict and accurate web, that is nevertheless nonexistent to the eyes we use for ordinary livingin this system of fine and finer, where then is the substance of a thought?”
—Doris Lessing (b. 1919)