A geometrical solution of a problem on wavelets

Ayaghe, Antoine

Ayaghe, Antoine

Studia Mathematica, Tome 141 (2000), p. 261-273 / Harvested from The Polish Digital Mathematics Library

Résumé

We prove the existence of nonseparable, orthonormal, compactly supported wavelet bases for $L^{2} (ℝ^{2})$ of arbitrarily high regularity by using some basic techniques of algebraic and differential geometry. We even obtain a much stronger result: “most” of the orthonormal compactly supported wavelet bases for $L^{2} (ℝ^{2})$ , of any regularity, are nonseparable

Publié le : 2000-01-01

Zbl 0964.42010

EUDML-ID : urn:eudml:doc:216722

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     author = {Antoine Ayaghe},
     title = {A geometrical solution of a problem on wavelets},
     journal = {Studia Mathematica},
     volume = {141},
     year = {2000},
     pages = {261-273},
     zbl = {0964.42010},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv139i3p261bwm}
}

Ayaghe, Antoine. A geometrical solution of a problem on wavelets. Studia Mathematica, Tome 141 (2000) pp. 261-273. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv139i3p261bwm/

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