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Theoretical Physics, Wavelets, Analysis, Genomics

Theoretical Physics, Wavelets, Analysis, Genomics
Author: Patrick Flandrin
Publisher: Springer Nature
Total Pages: 650
Release: 2023-05-31
Genre: Mathematics
ISBN: 3030458474

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Over the course of a scientific career spanning more than fifty years, Alex Grossmann (1930-2019) made many important contributions to a wide range of areas including, among others, mathematics, numerical analysis, physics, genetics, and biology. His lasting influence can be seen not only in his research and numerous publications, but also through the relationships he cultivated with his collaborators and students. This edited volume features chapters written by some of these colleagues, as well as researchers whom Grossmann’s work and way of thinking has impacted in a decisive way. Reflecting the diversity of his interests and their interdisciplinary nature, these chapters explore a variety of current topics in quantum mechanics, elementary particles, and theoretical physics; wavelets and mathematical analysis; and genomics and biology. A scientific biography of Grossmann, along with a more personal biography written by his son, serve as an introduction. Also included are the introduction to his PhD thesis and an unpublished paper coauthored by him. Researchers working in any of the fields listed above will find this volume to be an insightful and informative work.


Wavelets In Physics

Wavelets In Physics
Author: Lizhi Fang
Publisher: World Scientific
Total Pages: 227
Release: 1998-12-08
Genre: Science
ISBN: 9814496189

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Recent advances have shown wavelets to be an effective, and even necessary, mathematical tool for theoretical physics. This book is a timely overview of the progress of this new frontier. It includes an introduction to wavelet analysis, and applications in the fields of high energy physics, astrophysics, cosmology and statistical physics. The topics are selected for the interests of physicists and graduate students of theoretical studies. It emphasizes the need for wavelets in describing and revealing structure in physical problems, which is not easily accomplishing by other methods.


Advances in Wavelet Theory and Their Applications in Engineering, Physics and Technology

Advances in Wavelet Theory and Their Applications in Engineering, Physics and Technology
Author: Dumitru Baleanu
Publisher: BoD – Books on Demand
Total Pages: 650
Release: 2012-04-04
Genre: Computers
ISBN: 9535104942

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The use of the wavelet transform to analyze the behaviour of the complex systems from various fields started to be widely recognized and applied successfully during the last few decades. In this book some advances in wavelet theory and their applications in engineering, physics and technology are presented. The applications were carefully selected and grouped in five main sections - Signal Processing, Electrical Systems, Fault Diagnosis and Monitoring, Image Processing and Applications in Engineering. One of the key features of this book is that the wavelet concepts have been described from a point of view that is familiar to researchers from various branches of science and engineering. The content of the book is accessible to a large number of readers.


Fundamental Papers in Wavelet Theory

Fundamental Papers in Wavelet Theory
Author: Christopher Heil
Publisher: Princeton University Press
Total Pages: 897
Release: 2009-01-10
Genre: Mathematics
ISBN: 1400827264

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This book traces the prehistory and initial development of wavelet theory, a discipline that has had a profound impact on mathematics, physics, and engineering. Interchanges between these fields during the last fifteen years have led to a number of advances in applications such as image compression, turbulence, machine vision, radar, and earthquake prediction. This book contains the seminal papers that presented the ideas from which wavelet theory evolved, as well as those major papers that developed the theory into its current form. These papers originated in a variety of journals from different disciplines, making it difficult for the researcher to obtain a complete view of wavelet theory and its origins. Additionally, some of the most significant papers have heretofore been available only in French or German. Heil and Walnut bring together these documents in a book that allows researchers a complete view of wavelet theory's origins and development.


An Introduction to Wavelets

An Introduction to Wavelets
Author: Charles K. Chui
Publisher: Elsevier
Total Pages: 276
Release: 2014-06-28
Genre: Mathematics
ISBN: 0080499066

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An Introduction to Wavelets is the first volume in a new series, WAVELET ANALYSIS AND ITS APPLICATIONS. This is an introductory treatise on wavelet analysis, with an emphasis on spline wavelets and time-frequency analysis. Among the basic topics covered in this book are time-frequency localization, integral wavelet transforms, dyadic wavelets, frames, spline-wavelets, orthonormal wavelet bases, and wavelet packets. In addition, the author presents a unified treatment of nonorthogonal, semiorthogonal, and orthogonal wavelets. This monograph is self-contained, the only prerequisite being a basic knowledge of function theory and real analysis. It is suitable as a textbook for a beginning course on wavelet analysis and is directed toward both mathematicians and engineers who wish to learn about the subject. Specialists may use this volume as a valuable supplementary reading to the vast literature that has already emerged in this field. This is an introductory treatise on wavelet analysis, with an emphasis on spline-wavelets and time-frequency analysis This monograph is self-contained, the only prerequisite being a basic knowledge of function theory and real analysis Suitable as a textbook for a beginning course on wavelet analysis


A Friendly Guide to Wavelets

A Friendly Guide to Wavelets
Author: Gerald Kaiser
Publisher: Springer Science & Business Media
Total Pages: 318
Release: 2010-11-03
Genre: Mathematics
ISBN: 0817681116

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This volume is designed as a textbook for an introductory course on wavelet analysis and time-frequency analysis aimed at graduate students or advanced undergraduates in science and engineering. It can also be used as a self-study or reference book by practicing researchers in signal analysis and related areas. Since the expected audience is not presumed to have a high level of mathematical background, much of the needed analytical machinery is developed from the beginning. The only prerequisites for the first eight chapters are matrix theory, Fourier series, and Fourier integral transforms. Each of these chapters ends with a set of straightforward exercises designed to drive home the concepts just covered, and the many graphics should further facilitate absorption.


Wavelets

Wavelets
Author: M. Holschneider
Publisher: Oxford University Press, USA
Total Pages: 446
Release: 1995
Genre: Mathematics
ISBN:

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Wavelets analysis is a recent and rapidly growing area which is attracting a lot of interest, both in its own right and in the area of its applications. This timely book gives a self-contained introduction to wavelet analysis taking account of the continuous transform as well as itsdiscretized version, the ortho-normal basis. The book begins by introducing the continuous wavelets transform in one dimension using many examples. There are detailed discussions of wavelet analysis of regular functions, tempered distributions and square integrable functions. The continuouswavelet transform is deduced by means of various sampling theorems. It is then used as a mathematical microscope to analyse fractals. The language of group theory is used to unify various approaches.


Wavelet Theory and Its Applications

Wavelet Theory and Its Applications
Author: Sudhakar Radhakrishnan
Publisher: BoD – Books on Demand
Total Pages: 270
Release: 2018-10-03
Genre: Computers
ISBN: 1789234328

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This book is intended to attract the attention of practitioners and researchers in the academia and industry interested in challenging paradigms of wavelets and its application with an emphasis on the recent technological developments. All the chapters are well demonstrated by various researchers around the world covering the field of mathematics and applied engineering. This book highlights the current research in the usage of wavelets in different areas such as biomedical analysis, fringe-pattern analysis, image applications, network data transfer applications, and optical measurement techniques. The entire work available in the book is mainly focusing on researchers who can do quality research in the area of the usage of wavelets in related fields. Each chapter is an independent research, which will definitely motivate the young researchers to ponder on. These 12 chapters available in four sections will be an eye opener for all who are doing systematic research in these fields.


Wavelet Transforms and Their Recent Applications in Biology and Geoscience

Wavelet Transforms and Their Recent Applications in Biology and Geoscience
Author: Dumitru Baleanu
Publisher: BoD – Books on Demand
Total Pages: 314
Release: 2012-03-02
Genre: Science
ISBN: 9535102125

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This book reports on recent applications in biology and geoscience. Among them we mention the application of wavelet transforms in the treatment of EEG signals, the dimensionality reduction of the gait recognition framework, the biometric identification and verification. The book also contains applications of the wavelet transforms in the analysis of data collected from sport and breast cancer. The denoting procedure is analyzed within wavelet transform and applied on data coming from real world applications. The book ends with two important applications of the wavelet transforms in geoscience.


Wavelets in Geodesy and Geodynamics

Wavelets in Geodesy and Geodynamics
Author: Wolfgang Keller
Publisher: Walter de Gruyter
Total Pages: 292
Release: 2004
Genre: Mathematics
ISBN: 3110175460

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For many years, digital signal processing has been governed by the theory of Fourier transform and its numerical implementation. The main disadvantage of Fourier theory is the underlying assumption that the signals have time-wise or space-wise invariant statistical properties. In many applications the deviation from a stationary behavior is precisely the information to be extracted from the signals. Wavelets were developed to serve the purpose of analysing such instationary signals. The book gives an introduction to wavelet theory both in the continuous and the discrete case. After developing the theoretical fundament, typical examples of wavelet analysis in the Geosciences are presented. The book has developed from a graduate course held at The University of Calgary and is directed to graduate students who are interested in digital signal processing. The reader is assumed to have a mathematical background on the graduate level.