SOME ANALYTICAL CONSIDERATIONS ON 2-SCALE RELATIONS

Authors
ANTOINE JP BAGARELLO F
Citation
Jp. Antoine et F. Bagarello, SOME ANALYTICAL CONSIDERATIONS ON 2-SCALE RELATIONS, Nuovo cimento della Societa italiana di fisica. B, Relativity, classical and statistical physics, 109(8), 1994, pp. 871-890
Citations number
11
Categorie Soggetti
Physics
Journal title
Nuovo cimento della Societa italiana di fisica. B, Relativity, classical and statistical physics → ACNP
ISSN journal
11241888
Volume
109
Issue
8
Year of publication
1994
Pages
871 - 890
Database
ISI
SICI code
1124-1888(1994)109:8<871:SACO2R>2.0.ZU;2-J
Abstract
Scaling functions that generate a multiresolution analysis (MRA) satis fy, among other conditions, the so-called <<two-scale relation>> (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 co ntinuous scaling functions), existence theorems (using fixed point and eigenvalue arguments) and orthogonality relation between integer tran slates.