Matrix refinement equations: existence and uniqueness (original) (raw)

Matrix refinement equations: existence and uniqueness

Journal of Fourier Analysis and Applications, 1996

Abstract

ABSTRACT. Matrix re nement equations are functional equations of the form f(x) = PN k=0 ck f(2x ? k), where the coe cients ck are matrices and f is a vector-valued function. Re nement equations play key roles in wavelet theory and approximation theory. Existence and uniqueness ...

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