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

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