Geodesic
Analyse harmonique
Regularity properties of Haar Frames
Jaffard, Stéphane1  ; Krim, Hamid2
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.
Comptes Rendus. Mathématique, Tome 359 (2021) no. 9, pp. 1107-1117.

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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 : 10.5802/crmath.228
Classification : 42B35, 42C40, 46E35, 65T60, 68T05

Jaffard, Stéphane 1 ; Krim, Hamid 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.
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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Jaffard, Stéphane; Krim, Hamid. Regularity properties of Haar Frames. Comptes Rendus. Mathématique, Tome 359 (2021) no. 9, pp. 1107-1117. doi : 10.5802/crmath.228. http://geodesic.mathdoc.fr/articles/10.5802/crmath.228/

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