ON BOX DIMENSION OF GRAPHS

Authors
JAFFARD S
Citation
S. Jaffard, ON BOX DIMENSION OF GRAPHS, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 326(5), 1998, pp. 555-560
Citations number
6
Categorie Soggetti
Mathematics,Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
326
Issue
5
Year of publication
1998
Pages
555 - 560
Database
ISI
SICI code
0764-4442(1998)326:5<555:>2.0.ZU;2-V
Abstract
We prove a formula which allows to deduce the box dimension of the gra ph of a function from its wavelet coefficients, and we give some conse quences. We recall the main properties of lacunary wavelet series, and we calculate the box dimension of their graphs. (C) Academie des Scie nces/Elsevier, Paris.