Browsing Pure & Applied Mathematics by Author "Malone, David"

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    • Fourier analysis, multiresolution analysis and dilation equations 

      Malone, David (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 ...

    • Solutions to dilation equations 

      Malone, David (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 ...