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On the geometric
deformations of functions in $L^2[D]$
Luis Contreras, Derek DeSantis and Kathryn Leonard
Vol. 6 (2013), No. 2, 233–241
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Abstract |
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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. |
Keywords
wavelets, Legendre basis, geometric deformation
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Mathematical Subject Classification 2010
Primary: 26
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Milestones
Received: 23 February 2012
Accepted: 20 May 2013
Published: 1 September 2013
Communicated by David Royal Larson
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Authors |
| Luis Contreras | |
| Mathematics and Applied
Physics California State University, Channel Islands Camarillo, CA 93012 United States |
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| Derek DeSantis | |
| Mathematics and Applied
Physics University of Nebraska, Lincoln Lincoln, NE 68521 United States |
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| Kathryn Leonard | |
| Department of Mathematics California State University, Channel Islands 1 University Dr Camarillo, CA 93012 United States |
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