In an increasingly data-driven world, mathematical tools known as wavelets have become an indispensable way to analyze and understand information. Many researchers receive their data in the form of ...

In this paper we investigate spline wavelets on general triangulations. In particular, we are interested in C¹ wavelets generated from piecewise quadratic polynomials. By using the Powell-Sabin ...

We prove that suitable wavelets and scaling functions give characterizations and unconditional bases of the weighted Sobolev space Lp,s (w) with Ap or $A_p^{loc ...