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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“A person, seasoned with a just sense of the imperfections of natural reason, will fly to revealed truth with the greatest avidity: while the haughty Dogmatist, persuaded that he can erect a compleat system of Theology by the mere help of philosophy, disdains any further aid, and rejects this adventitious instructor.”
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