76 citations · 490 across the 73 of their papers we have counts for
4 papers · 1 filter
Structure theorems for star-commuting power partial isometries
Astrid an Huef, Iain Raeburn, Ilija Tolich
We give a new formulation and proof of a theorem of Halmos and Wallen on the structure of power partial isometries on Hilbert space. We then use this theorem to give a structure th…
Direct limits, multiresolution analyses, and wavelets
Lawrence W. Baggett, Nadia S. Larsen, Judith A. Packer +2
A multiresolution analysis for a Hilbert space realizes the Hilbert space as the direct limit of an increasing sequence of closed subspaces. In a previous paper, we showed how, con…
Generalized multiresolution analyses with given multiplicity functions
Lawrence W. Baggett, Nadia S. Larsen, Kathy D. Merrill +2
Generalized multiresolution analyses are increasing sequences of subspaces of a Hilbert space $\H$ that fail to be multiresolution analyses in the sense of wavelet theory because t…
From filters to wavelets via direct limits
Nadia S. Larsen, Iain Raeburn
We present a new proof of a theorem of Mallat which describes a construction of wavelets starting from a quadrature mirror filter. Our main innovation is to show how the scaling fu…