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Specifically, we show that these wavelets are optimal with respect to any optimality criterion that satisfies the natural properties of scale- and shift-invariance.<\/jats:p>","DOI":"10.3233\/jifs-212021","type":"journal-article","created":{"date-parts":[[2022,8,5]],"date-time":"2022-08-05T11:17:45Z","timestamp":1659698265000},"page":"6933-6938","source":"Crossref","is-referenced-by-count":3,"title":["Why Daubechies wavelets are so successful"],"prefix":"10.1177","volume":"43","author":[{"given":"Solymar Ayala","family":"Cortez","sequence":"first","affiliation":[{"name":"Department of Geological Sciences, University of Texas at El Paso, 500 W. University, El Paso, TX, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Laxman","family":"Bokati","sequence":"additional","affiliation":[{"name":"Computational Science Program, University of Texasat El Paso, 500 W. University, El Paso, TX, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Aaron","family":"Velasco","sequence":"additional","affiliation":[{"name":"Department of Geological Sciences, University of Texas at El Paso, 500 W. University, El Paso, TX, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Vladik","family":"Kreinovich","sequence":"additional","affiliation":[{"name":"Department of Computer Science, University of Texas at El Paso, 500 W. 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