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Comptes Rendus. Mathématique
Analyse harmonique
Regularity properties of Haar Frames
Comptes Rendus. Mathématique, Tome 359 (2021) no. 9, pp. 1107-1117.

We prove that pointwise and global Hölder regularity can be characterized using the coefficients on the Haar tight frame obtained by using a finite union of shifted Haar bases, despite the fact that the elements composing the frame are discontinuous.

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DOI : https://doi.org/10.5802/crmath.228
Classification : 42B35,  42C40,  46E35,  65T60,  68T05
Stéphane Jaffard 1 ; Hamid Krim 2

1. Univ Paris Est Creteil, CNRS, LAMA, F-94010 Creteil, France, Univ Gustave Eiffel, LAMA, F-77447 Marne-la-Vallée, France.
2. Department of Electrical and Computer Engineering, North Carolina State University, Raleigh, NC 27695 USA.
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     title = {Regularity properties of {Haar} {Frames}},
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Stéphane Jaffard; Hamid Krim. Regularity properties of Haar Frames. Comptes Rendus. Mathématique, Tome 359 (2021) no. 9, pp. 1107-1117. doi : 10.5802/crmath.228. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.228/

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