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Multiquadric Pre-Wavelets on Non-Equally Spaced Centres

by M. D. Buhmann

(Report number 1994-06)

Abstract
In this paper, we identify univariate prewavelets on spaces spanned by translates of multiquadric functions and other radial basis functions with emnon-equally spaced/em centres (or "knots"). Although the multiquadric function and its relations are our prime examples, the theory is sufficiently broad to admit prewavelets from other radial basis function spaces as well.

Keywords:

@Techreport{B94_161,
  author = {M. D. Buhmann},
  title = {Multiquadric Pre-Wavelets on Non-Equally Spaced Centres},
  institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
  number = {1994-06},
  address = {Switzerland},
  url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports1994/1994-06.pdf },
  year = {1994}
}

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