Wavelet expansion of functions on a differentiable manifold
Yu. K. Dem’yanovich · Vestnik St Petersburg University Mathematics · 2008
A wavelet expansion involving uniform meshes is accounted in many of the references (see, e.g., [1–4] and references therein); results on wavelets on nonuniform meshes may be found in [5–8]. Numerical flows associated with a smooth manifold may be processed using local functions (see [9]). However, development of efficient algorithms involves the resources of wavelet expansions.