Filters and Functions in Multi-scale Constructions: Extended Abstract
arXiv:1411.0434
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.
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