Title

Local dual and poly-scale refinability

Authors

Authors

Q. Y. Sun

Comments

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Abbreviated Journal Title

Proc. Amer. Math. Soc.

Keywords

local dual; linear independent shifts; refinability; poly-scale; refinability; MAXIMUM VANISHING MOMENTS; COMPACTLY SUPPORTED TIGHT; LINEAR; INDEPENDENCE; FRAMES; WAVELETS; Mathematics, Applied; Mathematics

Abstract

For a compactly supported function f, let S-n(f), n greater than or equal to 0, be the space of all finite linear combinations of f(M-n . - k), k is an element of 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 greater than or equal to 0, and that any function in S-0(f) is poly-scale refinable.

Journal Title

Proceedings of the American Mathematical Society

Volume

133

Issue/Number

4

Publication Date

1-1-2005

Document Type

Article; Proceedings Paper

Language

English

First Page

1175

Last Page

1184

WOS Identifier

WOS:000225945400028

ISSN

0002-9939

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