%0 Journal Article %T Filters and Functions in Multi-scale Constructions: Extended Abstract %A Wayne M. Lawton %J Mathematics %D 2014 %I arXiv %X 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. %U http://arxiv.org/abs/1411.0434v1