Pyramidal Algorithms for Littlewood-Paley Decompositions
M. A. Muschietti, Bruno Torrésani · SIAM Journal on Mathematical Analysis · 1995
It is well known that a pyramidal algorithm is associated with any usual multiresolution analysis of $L^2 (I\mathbb{R})$ for the computation of the corresponding wavelet coefficients. It is shown that an approximate pyramidal algorithm may be associated with more general Littlewood–Paley decompositions. Accuracy estimates are provided for such approximate algorithms. Finally, some explicit examples are studied.