Pure & Applied Mathematics (Theses and Dissertations)
(Trinity College (Dublin, Ireland). School of Mathematics, 2001)This thesis aims to explore part of the wonderful world of dilation equations. Dilation equations have a convoluted history, having reared their heads in various mathematical ﬁelds. One of the early appearances was in the ...
(Trinity College (Dublin, Ireland). School of Mathematics, 1998)This thesis has essentially two parts. The ﬁrst two chapters are an introduction to the related areas of Fourier analysis, multiresolution analysis and wavelets. Dilation equations arise in the context of multi resolution ...