3 papers
math.FA2012
On the vaguelet and Riesz properties of L^2-unbounded transformations of orthogonal wavelet bases
Gustavo Didier, Stéphane Jaffard, Vladas Pipiras
In this work, we prove that certain L^2-unbounded transformations of orthogonal wavelet bases generate vaguelets. The L^2-unbounded functions involved in the transformations are as…
math.NT2012
Multivariate Davenport series
Arnaud Durand, Stéphane Jaffard
We consider series of the form , where and is the sawtooth function. They are the natural multivariate extension of Davenport series. Th…
math.PR2010
Multifractal analysis of Lévy fields
Arnaud Durand, Stéphane Jaffard
We study the pointwise regularity properties of the Lévy fields introduced by T. Mori; these fields are the most natural generalization of Lévy processes to the multivariate settin…