Title

Local Dual And Poly-Scale Refinability

Keywords

Linear independent shifts; Local dual; Poly-scale refinability; Refinability

Abstract

For a compactly supported function f, let S n(f),n ≥ 0, be the space of all finite linear combinations of f(M n -k),k ∈ Z. In this paper, we consider the explicit construction of local duals of f and the poly-scale refinability of functions in S 0(f) when f is an M-refinable function. We show that for any M-refinable function f, there exists a local dual of f in S N(f) for some N ≥ 0, and that any function in S 0(f) is poly-scale refinable. © 2004 American Mathematical Society.

Publication Date

4-1-2005

Publication Title

Proceedings of the American Mathematical Society

Volume

133

Issue

4

Number of Pages

1175-1184

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1090/S0002-9939-04-07622-1

Socpus ID

16244421125 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/16244421125

This document is currently not available here.

Share

COinS