Asymptotic behavior of \(M\)-band scaling functions of Daubechies type
\textit{N. Bi, X. Dai} and \textit{Q. Sun} [Appl. Comput. Harmon. Anal. 6, No. 2, 113--131 (1999; Zbl 0926.42021)] considered the design of a filter with \(N\) vanishing moments and finite length corresponding to an \(M\)-band scaling function and constructed compactly supported orthonormal \(M\)-band wavelets. Here the authors investigate the asymptotic behaviour of \(M\)-band scaling functions and \(M\)-band symbols as \(M \to \infty ,\) for any \(N\geq 2.\)
scientific article; zbMATH DE number 1270163