Corrigendum/Addendum: Haar bases for \(L^2 (\mathbb{R}^n)\) and algebraic number theory

DOI10.1006/jnth.1998.2353zbMath1007.11066OpenAlexW4205675315MaRDI QIDQ1293175

Yang Wang, Jeffrey C. Lagarias

Publication date: 26 March 2003

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.1998.2353

zbMATH Keywords

integer matriceswavelet basisHaar basisideal class semigroup

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Lattices and convex bodies (number-theoretic aspects) (11H06) General harmonic expansions, frames (42C15) Class numbers, class groups, discriminants (11R29)

Related Items

Radix representations, self-affine tiles, and multivariable wavelets, A characterization of affine dual frames in \(L^2(\mathbb{R}^n)\), On number system constructions, REFINABLE SHIFT INVARIANT SPACES IN ℝ^d, Meyer type wavelet bases in \(\mathbb R^{2}\), Binary number systems for \(\mathbb Z^{k}\), The construction of \(r\)-regular wavelets for arbitrary dilations, On the correspondence of Haar-type wavelet series in one and several dimensions, Characterization of tile digit sets with prime determinants, Self-affine scaling sets in ℝ², Regularity of anisotropic refinable functions

Cites Work

• Haar bases for \(L^ 2 (\mathbb{R}^ n)\) and algebraic number theory
• On the theory of orders, in particular on the semigroup of ideal classes and genera of an order in an algebraic number field
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