Characterization of biorthogonal cosine wavelets (Q1375137)

This paper is devoted to the study of the characterization of two--overlapping dual window functions that give rise to biorthogonal Schauder bases, frames, and Riesz bases by modulation of the cosines. The authors show that in this case any frame is a Riesz basis. Their characterization of Riesz bases may be considered as a generalization of the results of \textit{R. R. Coifman, G. Matviyenko} and \textit{Y. Meyer} [Appl. Comp. Harmon. Anal. 4, No. 1, 58-61 (1997; Zbl 0870.94008)] and \textit{B. Jawerth} and \textit{W. Sweldens} [J. Fourier Anal. Appl. 2, No. 2, 109-133 (1995; Zbl 0886.42024)].