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Abstract: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . iii Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1. Stability and independence of the shifts of a multivariate refinable function . . . . . . . . . . . . . . . . . . . . . . . . . 10 1.1. Introduction . . . . . . . . . . . . . . . . . . . . . . . . . 10 1.2. Statement of Main Results . . . . . . . . . . . . . . . . . . . 14 1.3. Lemmata . . . . . . . . . . . . . . . . . . . . . . . . . . 18 1.4. Proof of Main... (Update)
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BibTeX entry: (Update)
@misc{ hogan-characterising,
author = "Thomas A. Hogan",
title = "Characterising Stability And Linear Independence Of The Shifts Of Univariate
Refinable Function Vectors And Certain Multivariate Refinable Functions
In Terms Of Their Refinement Masks",
url = "citeseer.ist.psu.edu/hogan96characterising.html" }
Citations (may not include all citations):1526 Ten Lectures on Wavelets (context) - Daubechies - 1992
401 An Introduction to Wavelets (context) - Chui - 1992
254 Multiresolution approximations and wavelet orthonormal bases.. (context) - Mallat - 1989
178 Wavelets and operators (context) - Meyer - 1992
125 Using the refinement equations for the construction of pre-w.. (context) - Rong-Qing, Micchelli - 1991
96 Fractal functions and 73 wavelet expansions based on several.. (context) - Geronimo, Hardin et al. - 1994
73 Integral Matrices (context) - Newman - 1972
73 Construction of orthogonal wavelets using fractal interpolat.. (context) - Donovan, Geronimo et al.
64 Entire Functions (context) - Boas - 1954
61 Oxford University Press (context) - Titchmarsh, The - 1939
57 Stability and linear independence associated with wavelet de.. - Rong-Qing, Wang - 1993
54 A block spin construction of ondelettes (context) - Battle - 1987
51 Approximation by translates of refinable functions - Heil, Strang et al.
49 Wavelets of multiplicity r (context) - Goodman - 1994
49 Matrix refinement equations: existence and uniqueness - Heil, Colella - 1995
[Article contains additional citations not shown here]
Documents on the same site (http://www.math.ohiou.edu/~hogan/research.html): More
Constructing Orthogonal Refinable Function Vectors With.. - Hardin, Hogan (Correct)
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