caa a22 4500 475743806 CHVBK 20180406123507.0 cr unu---uuuuu 170329e20000401xx s 000 0 eng 10.1007/s003659910012 doi (NATIONALLICENCE)springer-10.1007/s003659910012 Soardi P. M. Dipartimento di Matematica e Applicazioni, Università di Milano-Bicocca, viale Sarca 202, 20126, Milano, Italy aut Biorthogonal M -Channel Compactly Supported Wavelets [Elektronische Daten] [P. M. Soardi] Abstract. : We study a class of M -channel subband coding schemes with perfect reconstruction. Along the lines of [8] and [10], we construct compactly supported biorthogonal wavelet bases of L 2 (R) , with dilation factor M , associated to these schemes. In particular, we study the case of splines, and obtain explicitly simple expressions for all the relevant filters. The resulting wavelets have arbitrarily large regularity and we also obtain asymptotic estimates for the regularity exponent. Springer-Verlag New York Inc., 2000 Key words. Biorthogonal wavelets, Subband coding, Dual filters, Bernstein polynomials. AMS Classification. Primary 42C15, Secondary 94A12 nationallicence https://doi.org/10.1007/s003659910012 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s003659910012 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Soardi P. M. Dipartimento di Matematica e Applicazioni, Università di Milano-Bicocca, viale Sarca 202, 20126, Milano, Italy aut Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer