Corrigendum and Addendum to: Haar Bases for L2(Rn) and Algebraic Number Theory
نویسندگان
چکیده
We correct an error in the proof of Theorem 1.5 in 4]. We also give a strengthened necessary condition for the existence of a Haar basis of the speciied kind for every integer matrix A that has a given irreducible characteristic polynomial f(x) with jf(0)j = 2: A. Potiopa 7] found that the expanding polynomial g(x) = x 4 +x 2 +2 violates this necessary condition. Thus there exists some 4 4 expanding integral matrix A of determinant 2 and characteristic polynomial g(x) which has no Haar-type wavelet basis using an integer digit set D Z 4. Abstract 1. Introduction
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