The construction of single wavelets in d-dimensions |
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Authors: | J J Benedetto M Leon |
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Institution: | (1) Department of Mathematics, University of Maryland, 20742 College Park, MD |
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Abstract: | Sets K in d-dimensional Euclidean space are constructed with the property that the inverse Fourier transform of the characteristic
function 1
K
is a single dyadic orthonormal wavelet. The construction is characterized by its generality in the procedure, by its computational
implementation, and by its simplicity. The general case in which the inverse Fourier transforms of the characteristic functions 1K
1, ..., 1K
L
are a family of orthonormal wavelets is treated in 27]. |
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Keywords: | Math Subject Classifications" target="_blank">Math Subject Classifications 42C15 |
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