Two Recent Results on Wavelets: Wavelet Bases for the Interval, and Biorthogonal Wavelets Diagonalizing the Derivative Operator
The following two questions are often asked by researchers interested in applying wavelet bases to concrete numerical problems: 1) how does one adapt a wavelet basis on IR to a wavelet basis on an interval without terrible edge effects? 2) how does the wavelet transform deal with the derivative operator? This paper reviews several answers to each of these questions, including some recent constructions and observations. © 1994, Academic Press, Inc.
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