Abstract
We derive a formal relationship between the coefficients of a function expanded in either the Legendre basis or Haar wavelet basis, before and after a polynomial deformation of the function’s domain. We compute the relationship of coefficients explicitly in three cases: linear deformation with Haar basis, linear deformation with Legendre basis, and polynomial deformation with Legendre basis.
Citation
Luis Contreras. Derek DeSantis. Kathryn Leonard. "On the geometric deformations of functions in $L^2[D]$." Involve 6 (2) 233 - 241, 2013. https://doi.org/10.2140/involve.2013.6.233
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