Wavelet transforms are recent mathematical techniques, based on group theory and square
integrable representations, which allows one to unfold a signal, or a field, into both space …

This contribution provides a review of the most recent wavelet applications in the field of
earth sciences and is devoted to introducing and illustrating new wavelet analysis methods …

Historically, the theory of Hilbert spaces originated from David Hilbert's (1862–1943) work
on quadratic forms in infinitely many variables with their applications to integral equations …

Wavelet cross spectra and cross scalograms are used to analyze the time-scale structure of
bivariate turbulence data from the boundary layer over the ocean. The cross scalogram for …

Karstic watersheds appear as highly non-linear and non-stationary systems. The main focus
of this paper is a heuristic study of this non-stationarity using a time-scale localisation …

This article reviews state-of-the-art adaptive, multiresolution wavelet methodologies for
modeling and simulation of turbulent flows with various examples. Different numerical …

We decompose turbulent flows into two orthogonal parts: a coherent, inhomogeneous, non-
Gaussian component and an incoherent, homogeneous, Gaussian component. The two …

This Letter presents a wavelet technique for extracting coherent vortices from three-
dimensional turbulent flows, which is applied to a homogeneous isotropic turbulent flow at …

THE central problem of fully developed turbulence is the energy-cascading process. It has
resisted all attempts at a full physical understanding or mathematical formulation. The main …

Turbulence measurements performed at high frequencies yield data revealing intermittent
and multi-scale processes. Analysing time series of turbulent variables thus requires …