This paper deals with construction of non-uniform multiple knot B-spline wavelet basis functions (with minimal support). These wavelets are semi-orthogonal on a bounded interval. A large family of multiple knot B-spline wavelets is presented that gives a variety of basis functions with explicit formulas and locally compact supports. Moreover, the structure of this wavelet is conceptually simple and easy to implement. Finally, some examples of multiple knot B-spline wavelets are also presented.
"Construction of new multiple knot B-spline wavelets." Rocky Mountain J. Math. 47 (5) 1463 - 1495, 2017. https://doi.org/10.1216/RMJ-2017-47-5-1463