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A WAVELET MULTIFRACTAL FORMALISM FOR SIMULTANEOUS SINGULARITIES OF FUNCTIONS

Addendum for this article
- Addendum: "A wavelet multifractal formalism for simultaneous singularities of functions"

JAMIL AOUIDI

Department of Mathematics, Preparatory Institute for Military Academies, Avenue Marechal Tito, 4029 Sousse, Tunisia

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and

ANOUAR BEN MABROUK

Computational Mathematical Laboratory, Department of Mathematics, Faculty of Sciences, 5000 Monastir, Tunisia

Corresponding author.

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https://doi.org/10.1142/S021969131450009XCited by:4 (Source: Crossref)

Abstract

In this paper, a wavelet multifractal analysis is developed which permits to characterize simultaneous singularities for a vector of functions. An associated multifractal formalism is introduced and checked for the case of functions involving self similar aspects.

Keywords:

AMSC: 28A80, 42C40, 76M55

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