Haar Wavelet - Haar System

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:

    If mothers are to be successful in achieving their child-rearing goals, they must have the inner freedom to find their own value system and within that system to find what is acceptable to them and what is not. This means leaving behind the anxiety, but also the security, of simplistic good-bad formulations and deciding for themselves what they want to teach their children.
    Elaine Heffner (20th century)