Fractal multiwavelets related to the cantor dyadic group
Orthogonal wavelets on the Cantor dyadic group are identified with multiwavelets on the real line consisting of piecewise fractal functions. A tree algorithm for analysis using these wavelets is described. Multiwavelet systems with algorithms of similar structure include certain orthogonal compactly...
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| Language: | English |
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Hindawi Limited
1998-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171298000428 |
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doaj-7da5a631258843f59adb240572d385112020-11-24T23:04:53ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251998-01-0121230731410.1155/S0161171298000428Fractal multiwavelets related to the cantor dyadic groupW. Christopher Lang0Department of Mathematics, Indiana University Southeast, New Albany, IN 47150, USAOrthogonal wavelets on the Cantor dyadic group are identified with multiwavelets on the real line consisting of piecewise fractal functions. A tree algorithm for analysis using these wavelets is described. Multiwavelet systems with algorithms of similar structure include certain orthogonal compactly supported multiwavelets in the linear double-knot spline space S1,2.http://dx.doi.org/10.1155/S0161171298000428Waveletsmultiwaveletsfractal functionsCantor dyadic groupsplines. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
W. Christopher Lang |
| spellingShingle |
W. Christopher Lang Fractal multiwavelets related to the cantor dyadic group International Journal of Mathematics and Mathematical Sciences Wavelets multiwavelets fractal functions Cantor dyadic group splines. |
| author_facet |
W. Christopher Lang |
| author_sort |
W. Christopher Lang |
| title |
Fractal multiwavelets related to the cantor dyadic group |
| title_short |
Fractal multiwavelets related to the cantor dyadic group |
| title_full |
Fractal multiwavelets related to the cantor dyadic group |
| title_fullStr |
Fractal multiwavelets related to the cantor dyadic group |
| title_full_unstemmed |
Fractal multiwavelets related to the cantor dyadic group |
| title_sort |
fractal multiwavelets related to the cantor dyadic group |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
1998-01-01 |
| description |
Orthogonal wavelets on the Cantor dyadic group are identified with multiwavelets
on the real line consisting of piecewise fractal functions. A tree algorithm for analysis using these
wavelets is described. Multiwavelet systems with algorithms of similar structure include certain
orthogonal compactly supported multiwavelets in the linear double-knot spline space S1,2. |
| topic |
Wavelets multiwavelets fractal functions Cantor dyadic group splines. |
| url |
http://dx.doi.org/10.1155/S0161171298000428 |
| work_keys_str_mv |
AT wchristopherlang fractalmultiwaveletsrelatedtothecantordyadicgroup |
| _version_ |
1725628751907127296 |