2 papers
math.FA2017
Construction of scaling partitions of unity
Ole Christensen, Say Song Goh
Partitions of unity in formed by (matrix) scales of a fixed function appear in many parts of harmonic analysis, e.g., wavelet analysis and the analysis of Triebel-L…
math.FA2017
The unitary extension principle on locally compact abelian groups
Ole Christensen, Say Song Goh
The unitary extension principle (UEP) by Ron and Shen yields conditions for the construction of a multi-generated tight wavelet frame for $L^2(\mr^s)$ based on a given refinable fu…