Published November 2017 | Version v1
Journal article

A Characterization of Nonuniform Multiwavelets Using Dimension Function

  • 1. SHIATS, Deemed to be University, Department of Mathematics (India)
  • 2. S.P.M. Govt. Degree College, Department of Mathematics (India)
  • 3. Indian Institute of Technology Indore, Discipline of Mathematics (India)

Description

In this article, we present a characterization of nonuniform multiwavelets associated to a nonuniform multiresolution analysis (NUMRA) having finite multiplicity in terms of its dimension function. This, in turn, improves the main result of Gabardo and Yu given in (J Math Anal Appl 323(2):798–817, 2006). The concept of NUMRA was introduced by Gabardo and Nashed in which the translation set is a spectrum that is no longer a group.

Additional details

Identifiers

Publishing Information

Journal Title
Results in Mathematics
Journal Volume
72
Journal Issue
3
Journal Page Range
p. 1239-1255
ISSN
1422-6383

INIS

Country of Publication
Switzerland
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
50018258
Subject category
S97: MATHEMATICAL METHODS AND COMPUTING;
Descriptors DEI
DIMENSIONS; FUNCTIONS; MULTIPLICITY; RESOLUTION; SPECTRA

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Copyright (c) 2017 Springer International Publishing