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Some analytical considerations on two-scale relations

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Antoine, Jean-Pierre [UCL] Bagarello, F.

Scaling functions that generate a multiresolution analysis (MRA) satisfy, among other conditions, the so-called <> (TSR). In this paper we discuss a number of properties that follow from the TSR alone, independently of any MRA: position of zeros (mainly for continuous scaling functions), existence theorems (using fixed point and eigenvalue arguments) and orthogonality relation between integer translates.

Document type Article de périodique (Journal article)
Publication date 1994
Language Anglais
Journal information "Nuovo Cimento Della Societa Italiana Di Fisica B-general Physics Relativity Astronomy And Mathematical Physics And Methods" - Vol. 109, no. 8, p. 871-890 (1994)
Peer reviewed yes
Publisher Editrice Compositori Bologna (Bologna)
issn 0369-3554
Publication status Publié
Affiliation UCL
Links
Bibliographic reference Antoine, Jean-Pierre ; Bagarello, F.. Some analytical considerations on two-scale relations. In: Nuovo Cimento Della Societa Italiana Di Fisica B-general Physics Relativity Astronomy And Mathematical Physics And Methods, Vol. 109, no. 8, p. 871-890 (1994)
Permanent URL http://hdl.handle.net/2078.1/48672