Download Full eBooks in PDF
Abstract Harmonic Analysis Of Continuous Wavelet Transforms Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Abstract Harmonic Analysis Of Continuous Wavelet Transforms book. This book definitely worth reading, it is an incredibly well-written.
Author : Anonim
Publisher : Springer Science & Business Media
Page : 212 pages
File Size : 48,9 Mb
Release : 2005
Category : Electronic
ISBN : 3540242597
Author : Hartmut Führ
Publisher : Unknown
Page : 252 pages
File Size : 49,7 Mb
Release : 2002
Category : Harmonic analysis
ISBN : OCLC:756543406
Author : Hartmut Führ
Publisher : Unknown
Page : 193 pages
File Size : 50,6 Mb
Release : 2005
Category : Harmonic analysis
ISBN : LCCN:2004117184
Author : Lokenath Debnath,Firdous A. Shah
Publisher : Birkhäuser
Page : 220 pages
File Size : 53,9 Mb
Release : 2017-09-05
Category : Mathematics
ISBN : 9783319594330
This book provides a systematic exposition of the basic ideas and results of wavelet analysis suitable for mathematicians, scientists, and engineers alike. The primary goal of this text is to show how different types of wavelets can be constructed, illustrate why they are such powerful tools in mathematical analysis, and demonstrate their use in applications. It also develops the required analytical knowledge and skills on the part of the reader, rather than focus on the importance of more abstract formulation with full mathematical rigor. These notes differs from many textbooks with similar titles in that a major emphasis is placed on the thorough development of the underlying theory before introducing applications and modern topics such as fractional Fourier transforms, windowed canonical transforms, fractional wavelet transforms, fast wavelet transforms, spline wavelets, Daubechies wavelets, harmonic wavelets and non-uniform wavelets. The selection, arrangement, and presentation of the material in these lecture notes have carefully been made based on the authors’ teaching, research and professional experience. Drafts of these lecture notes have been used successfully by the authors in their own courses on wavelet transforms and their applications at the University of Texas Pan-American and the University of Kashmir in India.
Author : Anton Deitmar,Siegfried Echterhoff
Publisher : Springer Science & Business Media
Page : 337 pages
File Size : 42,5 Mb
Release : 2008-12-04
Category : Mathematics
ISBN : 9780387854694
The tread of this book is formed by two fundamental principles of Harmonic Analysis: the Plancherel Formula and the Poisson S- mation Formula. We ?rst prove both for locally compact abelian groups. For non-abelian groups we discuss the Plancherel Theorem in the general situation for Type I groups. The generalization of the Poisson Summation Formula to non-abelian groups is the S- berg Trace Formula, which we prove for arbitrary groups admitting uniform lattices. As examples for the application of the Trace F- mula we treat the Heisenberg group and the group SL (R). In the 2 2 former case the trace formula yields a decomposition of the L -space of the Heisenberg group modulo a lattice. In the case SL (R), the 2 trace formula is used to derive results like the Weil asymptotic law for hyperbolic surfaces and to provide the analytic continuation of the Selberg zeta function. We ?nally include a chapter on the app- cations of abstract Harmonic Analysis on the theory of wavelets. The present book is a text book for a graduate course on abstract harmonic analysis and its applications. The book can be used as a follow up of the First Course in Harmonic Analysis, [9], or indep- dently, if the students have required a modest knowledge of Fourier Analysis already. In this book, among other things, proofs are given of Pontryagin Duality and the Plancherel Theorem for LCA-groups, which were mentioned but not proved in [9].
Author : Stephan Dahlke,Filippo De Mari,Philipp Grohs,Demetrio Labate
Publisher : Birkhäuser
Page : 256 pages
File Size : 52,7 Mb
Release : 2015-09-12
Category : Mathematics
ISBN : 9783319188638
This contributed volume explores the connection between the theoretical aspects of harmonic analysis and the construction of advanced multiscale representations that have emerged in signal and image processing. It highlights some of the most promising mathematical developments in harmonic analysis in the last decade brought about by the interplay among different areas of abstract and applied mathematics. This intertwining of ideas is considered starting from the theory of unitary group representations and leading to the construction of very efficient schemes for the analysis of multidimensional data. After an introductory chapter surveying the scientific significance of classical and more advanced multiscale methods, chapters cover such topics as An overview of Lie theory focused on common applications in signal analysis, including the wavelet representation of the affine group, the Schrödinger representation of the Heisenberg group, and the metaplectic representation of the symplectic group An introduction to coorbit theory and how it can be combined with the shearlet transform to establish shearlet coorbit spaces Microlocal properties of the shearlet transform and its ability to provide a precise geometric characterization of edges and interface boundaries in images and other multidimensional data Mathematical techniques to construct optimal data representations for a number of signal types, with a focus on the optimal approximation of functions governed by anisotropic singularities. A unified notation is used across all of the chapters to ensure consistency of the mathematical material presented. Harmonic and Applied Analysis: From Groups to Signals is aimed at graduate students and researchers in the areas of harmonic analysis and applied mathematics, as well as at other applied scientists interested in representations of multidimensional data. It can also be used as a textbook for graduate courses in applied harmonic analysis.
Author : Lokenath Debnath,Firdous Ahmad Shah
Publisher : Springer
Page : 562 pages
File Size : 45,5 Mb
Release : 2014-11-25
Category : Technology & Engineering
ISBN : 9780817684181
This textbook is an introduction to wavelet transforms and accessible to a larger audience with diverse backgrounds and interests in mathematics, science, and engineering. Emphasis is placed on the logical development of fundamental ideas and systematic treatment of wavelet analysis and its applications to a wide variety of problems as encountered in various interdisciplinary areas. Topics and Features: * This second edition heavily reworks the chapters on Extensions of Multiresolution Analysis and Newlands’s Harmonic Wavelets and introduces a new chapter containing new applications of wavelet transforms * Uses knowledge of Fourier transforms, some elementary ideas of Hilbert spaces, and orthonormal systems to develop the theory and applications of wavelet analysis * Offers detailed and clear explanations of every concept and method, accompanied by carefully selected worked examples, with special emphasis given to those topics in which students typically experience difficulty * Includes carefully chosen end-of-chapter exercises directly associated with applications or formulated in terms of the mathematical, physical, and engineering context and provides answers to selected exercises for additional help Mathematicians, physicists, computer engineers, and electrical and mechanical engineers will find Wavelet Transforms and Their Applications an exceptionally complete and accessible text and reference. It is also suitable as a self-study or reference guide for practitioners and professionals.
Author : Khalifa Trimeche
Publisher : CRC Press
Page : 320 pages
File Size : 44,5 Mb
Release : 2001-03-07
Category : Mathematics
ISBN : 9781482283174
The book presents a more comprehensive treatment of transmutation operators associated with the Bessel operator, and explores many of their properties. They are fundamental in the complete study of the Bessel harmonic analysis and the Bessel wavelet packets. Many applications of these theories and their generalizations have been injected throughout
Author : Brigitte Forster,Peter Robert Massopust
Publisher : Springer Science & Business Media
Page : 265 pages
File Size : 54,9 Mb
Release : 2010
Category : Mathematics
ISBN : 9780817648909
Written by internationally renowned mathematicians, this state-of-the-art textbook examines four research directions in harmonic analysis and features some of the latest applications in the field. The work is the first one that combines spline theory, wavelets, frames, and time-frequency methods leading up to a construction of wavelets on manifolds other than Rn. Four Short Courses on Harmonic Analysis is intended as a graduate-level textbook for courses or seminars on harmonic analysis and its applications. The work is also an excellent reference or self-study guide for researchers and practitioners with diverse mathematical backgrounds working in different fields such as pure and applied mathematics, image and signal processing engineering, mathematical physics, and communication theory.
Author : Lokenath Debnath
Publisher : Springer Science & Business Media
Page : 444 pages
File Size : 54,6 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781461201373
The last fifteen years have produced major advances in the mathematical theory of wavelet transforms and their applications to science and engineering. In an effort to inform researchers in mathematics, physics, statistics, computer science, and engineering and to stimulate furtherresearch, an NSF-CBMS Research Conference on Wavelet Analysis was organized at the University of Central Florida in May 1998. Many distinguished mathematicians and scientists from allover the world participated in the conference and provided a digest of recent developments, open questions, and unsolved problems in this rapidly growing and important field. As a follow-up project, this monograph was developed from manuscripts sub mitted by renowned mathematicians and scientists who have made important contributions to the subject of wavelets, wavelet transforms, and time-frequency signal analysis. This publication brings together current developments in the theory and applications of wavelet transforms and in the field of time-frequency signal analysis that are likely to determine fruitful directions for future advanced study and research.
Author : Agostino Abbate,Casimer DeCusatis,Pankaj K. Das
Publisher : Springer Science & Business Media
Page : 562 pages
File Size : 42,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461201137
This book presents connections between the different aspects of wavelet and subband theory.
Author : Carlos E. D'Attellis,Elena M. Fernandez-Berdaguer
Publisher : Springer Science & Business Media
Page : 352 pages
File Size : 45,9 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9781461220107
The idea of this book originated in the works presented at the First Latinamerican Conference on Mathematics in Industry and Medicine, held in Buenos Aires, Argentina, from November 27 to December 1, 1995. A variety of topics were discussed at this meeting. A large percentage of the papers focused on Wavelet and Harmonic Analysis. The theory and applications of this topic shown at the Conference were interesting enough to be published. Based on that we selected some works which make the core of this book. Other papers are contributions written by invited experts in the field to complete the presentation. All the works were written after the Conference. The purpose of this book is to present recent results as well as theo retical applied aspects of the subject. We have decided not to include a section devoted to the theoretical foundations of wavelet methods for non specialists. There are excellent introductions already available, for example, Chapter one in Wavelets in Medicine and Biology, edited by A. Aldroubi and M. Unser, 1996, or some of the references cited in the chapter.
Author : Tom H Koornwinder
Publisher : World Scientific
Page : 240 pages
File Size : 51,6 Mb
Release : 1993-06-24
Category : Mathematics
ISBN : 9789814590976
Nowadays, some knowledge of wavelets is almost mandatory for mathematicians, physicists and electrical engineers. The emphasis in this volume, based on an intensive course on Wavelets given at CWI, Amsterdam, is on the affine case. The first part presents a concise introduction of the underlying theory to the uninitiated reader. The second part gives applications in various areas. Some of the contributions here are a fresh exposition of earlier work by others, while other papers contain new results by the authors. The areas are so diverse as seismic processing, quadrature formulae, and wavelet bases adapted to inhomogeneous cases. Contents:Wavelets: First Steps (N M Temme)Wavelets: Mathematical Preliminaries (P W Hemker et al.)The Continuous Wavelet Transform (T H Koornwinder)Discrete Wavelets and Multiresolution Analysis (H J A M Heijmans)Image Compression Using Wavelets (P Nacken)Computing with Daubechies' Wavelets (A B Olde Daalhuis)Wavelet Bases Adapted to Inhomogeneous Cases (P W Hemker & F Plantevin)Conjugate Quadrature Filters for Multiresolution Analysis and Synthesis (E H Dooijes)Calculation of the Wavelet Decomposition Using Quadrature Formulae (W Sweldens & R Piessens)Fast Wavelet Transforms and Calderón-Zygmund Operators (T H Koornwinder)The Finite Wavelet Transform with an Application to Seismic Processing (J A H Alkemade)Wavelets Understand Fractals (M Hazewinkel) Readership: Applied mathematicians, numerical analysts, physicists, electrical engineers and signal analysts (sounds, images). Keywords:Wavelets;Continuous Wavelet Transform;Multiresolution Analysis;Daubechies Wavelets;Wavelet Bases;Calderon-Zygmund Operators;Conjugate Quadrature Filters;Image Compression;Seismic Processing;FractalsReviews: “… highly recommended to everyone who needs a quick account of wavelet theory as well as some ideas of wavelet applications. Results and basic theorems are stated in a rigorous and very satisfactory way, without overloading the treatment by including too many concisely worked-out proofs. Those interested in a more complete treatment will find enough hints on where to look up the details. While not being a textbook for students at an intermediate level, it can be useful as an aid in more advanced courses or seminars. For specialists in the field, the book can serve as a nice reference work; engineers and other people interested in algorithms for the fast wavelet transform will find it a useful guide to go directly to their specific interests. I am convinced that this ‘elementary treatment of theory and applications’ will become a standard reference for a broad audience.” Journal of Approximation Theory “As well as many exercises and remarks one finds lists of references after each chapter. These make the book valuable not only for graduate students but also for researchers.” European Maths. Soc. Newsletter
Author : David F. Walnut
Publisher : Springer Science & Business Media
Page : 453 pages
File Size : 54,5 Mb
Release : 2013-12-11
Category : Computers
ISBN : 9781461200017
This book provides a comprehensive presentation of the conceptual basis of wavelet analysis, including the construction and analysis of wavelet bases. It motivates the central ideas of wavelet theory by offering a detailed exposition of the Haar series, then shows how a more abstract approach allows readers to generalize and improve upon the Haar series. It then presents a number of variations and extensions of Haar construction.
Author : Randy K. Young
Publisher : Springer Science & Business Media
Page : 233 pages
File Size : 48,8 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781461535843
The continuous wavelet transform has deep mathematical roots in the work of Alberto P. Calderon. His seminal paper on complex method of interpolation and intermediate spaces provided the main tool for describing function spaces and their approximation properties. The Calderon identities allow one to give integral representations of many natural operators by using simple pieces of such operators, which are more suited for analysis. These pieces, which are essentially spectral projections, can be chosen in clever ways and have proved to be of tremendous utility in various problems of numerical analysis, multidimensional signal processing, video data compression, and reconstruction of high resolution images and high quality speech. A proliferation of research papers and a couple of books, written in English (there is an earlier book written in French), have emerged on the subject. These books, so far, are written by specialists for specialists, with a heavy mathematical flavor, which is characteristic of the Calderon-Zygmund theory and related research of Duffin-Schaeffer, Daubechies, Grossman, Meyer, Morlet, Chui, and others. Randy Young's monograph is geared more towards practitioners and even non-specialists, who want and, probably, should be cognizant of the exciting proven as well as potential benefits which have either already emerged or are likely to emerge from wavelet theory.
