Wavelet techniques in multifractal analysis Page 1 2585-30 Joint ICTP-TWAS School on
Coherent State Transforms, TimeFrequency and Time-Scale Analysis, Applications S. Jaffard 2 …

This book deals with the constructive Weierstrassian approach to the theory of function
spaces and various applications. The first chapter is devoted to a detailed study of …

Number theory, spectral geometry, and fractal geometry are interlinked in this in-depth study
of the vibrations of fractal strings, that is, one-dimensional drums with fractal boundary. Key …

We give an overview over the application of functional equations, namely the classical
Poincaré and renewal equations, to the study of the spectrum of Laplace operators on self …

A fractal drum is a bounded open subset of R. m with a fractal boundary. A difficult problem
is to describe the relationship between the shape (geo metry) of the drum and its sound (its …

Our main goal in this long survey article is to provide an overview of the theory of complex
fractal dimensions and of the associated geometric or fractal zeta functions, first in the case …

The present research monograph is a testimony to the fact that Fractal Analysis is deeply
connected to numerous areas of contemporary Mathematics. Here, we have in mind, in …

The production of charged pions, protons, and deuterons has been studied in central
collisions of 58 Ni on 58 Ni at incident beam energies of 1.06 A, 1.45 A, and 1.93 A GeV. The …

The theory of fractal strings and their complex dimensions investigates the geometric,
spectral and physical properties of fractals and precisely describes the oscillations in the …

Given a spectral triple (A, H, D), the functionals on A of the form a↦ τω (a| D|− α) are studied,
where τω is a singular trace, and ω is a generalised limit. When τω is the Dixmier trace, the …