|
Showing 1 - 5 of
5 matches in All Departments
Wavelet Analysis: Basic Concepts and Applications provides a basic
and self-contained introduction to the ideas underpinning wavelet
theory and its diverse applications. This book is suitable for
master’s or PhD students, senior researchers, or scientists
working in industrial settings, where wavelets are used to model
real-world phenomena and data needs (such as finance, medicine,
engineering, transport, images, signals, etc.). Features: Offers a
self-contained discussion of wavelet theory Suitable for a wide
audience of post-graduate students, researchers, practitioners, and
theorists Provides researchers with detailed proofs Provides guides
for readers to help them understand and practice wavelet analysis
in different areas
Wavelet Analysis: Basic Concepts and Applications provides a basic
and self-contained introduction to the ideas underpinning wavelet
theory and its diverse applications. This book is suitable for
master's or PhD students, senior researchers, or scientists working
in industrial settings, where wavelets are used to model real-world
phenomena and data needs (such as finance, medicine, engineering,
transport, images, signals, etc.). Features: Offers a
self-contained discussion of wavelet theory Suitable for a wide
audience of post-graduate students, researchers, practitioners, and
theorists Provides researchers with detailed proofs Provides guides
for readers to help them understand and practice wavelet analysis
in different areas
The goal of this monograph is to develop the theory of wavelet
harmonic analysis on the sphere. By starting with orthogonal
polynomials and functional Hilbert spaces on the sphere, the
foundations are laid for the study of spherical harmonics such as
zonal functions. The book also discusses the construction of
wavelet bases using special functions, especially Bessel, Hermite,
Tchebychev, and Gegenbauer polynomials.
The aim of this book is to provide a basic and self-contained
introduction to the ideas underpinning fractal analysis. The book
illustrates some important applications issued from real data sets,
real physical and natural phenomena as well as real applications in
different fields, and consequently, presents to the readers the
opportunity to implement fractal analysis in their specialties
according to the step-by-step guide found in the book.Besides
advanced undergraduate students, graduate students and senior
researchers, this book may also serve scientists and research
workers from industrial settings, where fractals and multifractals
are required for modeling real-world phenomena and data, such as
finance, medicine, engineering, transport, images, signals, among
others.For the theorists, rigorous mathematical developments are
established with necessary prerequisites that make the book
self-containing. For the practitioner often interested in model
building and analysis, we provide the cornerstone ideas.
The book deals with Wavelet Multifractal Analysis of Functions
especially those representing some type of self similarity. These
constitute nowadays a very popular subject of study in theoretical
mathematics, physics as well as applied fields such as biology,
finance, etc. This makes their understanding is of great interest
for researchers as well as professionals. This book will be an
important reference especially for young researchers as well as for
applied ones especially physicists, biologists, bankers, and
financials. We recall with details the mathematics notions related
to the subject such as Hausdorff measure and dimension, self
similar sets and the role of the self similarity in the computation
of their sizes. Next, we recall the basics of wavelet theory, self
similar type functions and the validity of the multifractal
formalism and its relation to the self similar structure. Some
examples are also recalled with exact computations.
|
|