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:
“Columbus stood in his age as the pioneer of progress and enlightenment. The system of universal education is in our age the most prominent and salutary feature of the spirit of enlightenment, and it is peculiarly appropriate that the schools be made by the people the center of the days demonstration. Let the national flag float over every schoolhouse in the country and the exercises be such as shall impress upon our youth the patriotic duties of American citizenship.”
—Benjamin Harrison (18331901)