RT info:eu-repo/semantics/article T1 Spectral Algorithms for MRA Orthonormal Wavelets A1 Gómez Cubillo, Fernando A1 Villullas Merino, Sergio AB Operator techniques lead to spectral algorithms to compute scalingfunctions and wavelets associated with multiresolution analyses (MRAs). Thespectral algorithms depend on the choice of pairs of suitable orthonormalbases (ONBs). This work presents the spectral algorithms for three differentpairs of ONBs: Haar bases, Walsh–Paley bases and trigonometric bases. TheWalsh–Paley bases connect wavelet theory and dyadic harmonic analysis. Theresults for trigonometric bases are the first viable attempt to do a discreteFourier analysis of the problem. PB Springer YR 2018 FD 2018 LK http://uvadoc.uva.es/handle/10324/40086 UL http://uvadoc.uva.es/handle/10324/40086 LA eng NO Operator Theory: Advances and Applications, Vol. 267, 185–198 (2018) NO Producción Científica DS UVaDOC RD 27-dic-2024