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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Stéphane Jaffard 1 ; Hamid Krim 2
CC-BY 4.0
@article{CRMATH_2021__359_9_1107_0,
author = {St\'ephane Jaffard and Hamid Krim},
title = {Regularity properties of {Haar} {Frames}},
journal = {Comptes Rendus. Math\'ematique},
pages = {1107--1117},
publisher = {Acad\'emie des sciences, Paris},
volume = {359},
number = {9},
year = {2021},
doi = {10.5802/crmath.228},
language = {en},
}
Stéphane Jaffard; Hamid Krim. Regularity properties of Haar Frames. Comptes Rendus. Mathématique, Volume 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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