Add to ORKGAbstract. In these lecture notes we present connections between the theory of iterated function systems, in particular those attractors that are graphs of multivariate real-valued fractal functions, foldable figures and affine Weyl groups, and wavelet sets
110 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1997.This thesis explores the Haus...
Abstract. A fractal function is a function whose graph is the attractor of an iterated function syst...
This paper reviews how elements from the theory of fractal functions are employed to construct scali...
AbstractWe construct a wavelet and a generalised Fourier basis with respect to some fractal measure ...
Fractals and wavelets are emerging areas of mathematics with many common factors which can be used t...
We introduce a duality for affine iterated function systems (AIFS) which is naturally motivated by g...
We introduce a duality for affine iterated function systems (AIFS) which is naturally motivated by g...
This thesis consists of an introduction and a summary, followed by two papers, both of them on the t...
Abstract. We introduce local iterated function systems and present some of their basic properties. A...
The paper concerns fractal homeomorphism between the attractors of two bi-affine iterated function s...
This contributed volume provides readers with an overview of the most recent developments in the mat...
Orthogonal wavelets on the Cantor dyadic group are identified with multiwavelets on the real line co...
International audienceIn this course, we give the basics of the part of multifractal theory that int...
AbstractWe consider functions represented by series ∑g∈Gcgψ(g−1(x)) of wavelet-type, where G is a gr...
In this paper, we begin in Chapter 1 by giving a brief overview of the history of fractal geometry, ...
110 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1997.This thesis explores the Haus...
Abstract. A fractal function is a function whose graph is the attractor of an iterated function syst...
This paper reviews how elements from the theory of fractal functions are employed to construct scali...
AbstractWe construct a wavelet and a generalised Fourier basis with respect to some fractal measure ...
Fractals and wavelets are emerging areas of mathematics with many common factors which can be used t...
We introduce a duality for affine iterated function systems (AIFS) which is naturally motivated by g...
We introduce a duality for affine iterated function systems (AIFS) which is naturally motivated by g...
This thesis consists of an introduction and a summary, followed by two papers, both of them on the t...
Abstract. We introduce local iterated function systems and present some of their basic properties. A...
The paper concerns fractal homeomorphism between the attractors of two bi-affine iterated function s...
This contributed volume provides readers with an overview of the most recent developments in the mat...
Orthogonal wavelets on the Cantor dyadic group are identified with multiwavelets on the real line co...
International audienceIn this course, we give the basics of the part of multifractal theory that int...
AbstractWe consider functions represented by series ∑g∈Gcgψ(g−1(x)) of wavelet-type, where G is a gr...
In this paper, we begin in Chapter 1 by giving a brief overview of the history of fractal geometry, ...
110 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1997.This thesis explores the Haus...
Abstract. A fractal function is a function whose graph is the attractor of an iterated function syst...
This paper reviews how elements from the theory of fractal functions are employed to construct scali...