Filters and Functions in Multi-scale Constructions: Extended Abstract

2014/11/03 by Wayne M. Lawton, Lawton, Wayne M. · 1 citation
Mathematics · #11R06 #42C15 #47A68 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.CA #msc:11R06 #msc:42C15 #msc:47A68

paper · pdf · doi:10.48550/arxiv.1411.0434

10 pages, 38 references, plenary talk at: International workshop on Wavelets, Frames and Applications II, from December 24-30, 2014. The conference will be held at the premises of Kirori Mal College, University of Delhi, Delhi, India

arxiv created 2014/11/03 · arxiv updated 2014/11/04

Abstract

We derive results about geometric means of the Fourier modulus of filters and functions related to refinable distributions with arbitrary dilations and translations. Then we develop multi-scale constructions for dilations by Pisot-Vijayaraghavan numbers and translations in associated quasilattices.

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