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Wavelets and Operators

Wavelets and Operators Author Yves Meyer
ISBN-10 0521458692
Release 1995-01-12
Pages 244
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Over the last two years, wavelet methods have shown themselves to be of considerable use to harmonic analysts and, in particular, advances have been made concerning their applications. The strength of wavelet methods lies in their ability to describe local phenomena more accurately than a traditional expansion in sines and cosines can. Thus, wavelets are ideal in many fields where an approach to transient behaviour is needed, for example, in considering acoustic or seismic signals, or in image processing. Yves Meyer stands the theory of wavelets firmly upon solid ground by basing his book on the fundamental work of Calderón, Zygmund and their collaborators. For anyone who would like an introduction to wavelets, this book will prove to be a necessary purchase.



Wavelets

Wavelets Author Yves Meyer
ISBN-10 0521794730
Release 2000-07-31
Pages 336
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A classic exposition of the theory of wavelets from two of the subject's leading experts.



Second Generation Wavelets and Applications

Second Generation Wavelets and Applications Author Maarten H. Jansen
ISBN-10 1852339160
Release 2005-04-28
Pages 138
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Introduces "second generation wavelets" and the lifting transform that can be used to apply the traditional benefits of wavelets into a wide range of new areas in signal processing, data processing and computer graphics.



Progress in Physical Chemistry Volume 3

Progress in Physical Chemistry Volume 3 Author Franz Michael Dolg
ISBN-10 9783486711639
Release 2010-01-01
Pages 429
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Progress in Physical Chemistry is a collection of recent »Review Articles« published in the »Zeitschrift für Physikalische Chemie«. The third volume of the series "Progress in Physical Chemistry" comprises 27 articles, most of them with review character, written by the members of the Priority Program (SPP) 1145 of the German Research Foundation (DFG).



Wavelets and Multiscale Analysis

Wavelets and Multiscale Analysis Author Jonathan Cohen
ISBN-10 0817680950
Release 2011-03-01
Pages 338
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Since its emergence as an important research area in the early 1980s, the topic of wavelets has undergone tremendous development on both theoretical and applied fronts. Myriad research and survey papers and monographs have been published on the subject, documenting different areas of applications such as sound and image processing, denoising, data compression, tomography, and medical imaging. The study of wavelets remains a very active field of research, and many of its central techniques and ideas have evolved into new and promising research areas. This volume, a collection of invited contributions developed from talks at an international conference on wavelets, is divided into three parts: Part I is devoted to the mathematical theory of wavelets and features several papers on wavelet sets and the construction of wavelet bases in different settings. Part II looks at the use of multiscale harmonic analysis for understanding the geometry of large data sets and extracting information from them. Part III focuses on applications of wavelet theory to the study of several real-world problems. Overall, the book is an excellent reference for graduate students, researchers, and practitioners in theoretical and applied mathematics, or in engineering.



European Congress of Mathematics Barcelona July 10 14 2000

European Congress of Mathematics  Barcelona  July 10 14  2000 Author Carles Casacuberta
ISBN-10 3764364173
Release 2001-12-01
Pages 582
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The Third European Congress of Mathematics (3ecm) took place from July 10th to July 14th, 2000 in Barcelona. It was organised by the Societat Catalana de Matematiques (Catalan Mathematical Society), under the auspices of the Euro­ pean Mathematical Society (EMS). As foreseen by the EMS and the International Mathematical Union, this Congress was a major event in World Mathematical Year 2000. In addition to reviewing outstanding research achievements, important aspects of the life of European mathematics were discussed. Mathematics is undergoing a period of rapid changes. Effective computation and applications in science and technology go ever more hand in hand with con­ ceptual developments. It was one of the aims of 3ecm to reflect this mutual enrich­ ment, while steering present and future trends of mathematical sciences. In fact, the motto of the Congress, Shaping the 21st Century, was meant to capture these views. Nearly 1400 people from 87 countries gathered together in the Palau de Con­ gressos of Barcelona in order to take part in the activities of the 3ecm scientific programme: Nine plenary lectures, thirty invited lectures in parallel sessions, lec­ tures given by EMS prize winners, ten mini-symposia on special topics, seven round tables, poster sessions, presentations of mathematical software and video exhibitions. Twenty events were satellites of 3ecm in various countries.



Operator Methods in Wavelets Tilings and Frames

Operator Methods in Wavelets  Tilings  and Frames Author Keri A. Kornelson
ISBN-10 9781470410407
Release 2014-10-20
Pages 177
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This volume contains the proceedings of the AMS Special Session on Harmonic Analysis of Frames, Wavelets, and Tilings, held April 13-14, 2013, in Boulder, Colorado. Frames were first introduced by Duffin and Schaeffer in 1952 in the context of nonharmonic Fourier series but have enjoyed widespread interest in recent years, particularly as a unifying concept. Indeed, mathematicians with backgrounds as diverse as classical and modern harmonic analysis, Banach space theory, operator algebras, and complex analysis have recently worked in frame theory. Frame theory appears in the context of wavelets, spectra and tilings, sampling theory, and more. The papers in this volume touch on a wide variety of topics, including: convex geometry, direct integral decompositions, Beurling density, operator-valued measures, and splines. These varied topics arise naturally in the study of frames in finite and infinite dimensions. In nearly all of the papers, techniques from operator theory serve as crucial tools to solving problems in frame theory. This volume will be of interest not only to researchers in frame theory but also to those in approximation theory, representation theory, functional analysis, and harmonic analysis.



Group Representations Ergodic Theory and Mathematical Physics

Group Representations  Ergodic Theory  and Mathematical Physics Author Robert S. Doran
ISBN-10 9780821842256
Release 2008
Pages 446
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George Mackey was an extraordinary mathematician of great power and vision. His profound contributions to representation theory, harmonic analysis, ergodic theory, and mathematical physics left a rich legacy for researchers that continues today. This book is based on lectures presented at an AMS special session held in January 2007 in New Orleans dedicated to his memory. The papers, written especially for this volume by internationally-known mathematicians and mathematical physicists, range from expository and historical surveys to original high-level research articles. The influence of Mackey's fundamental ideas is apparent throughout. The introductory article contains recollections from former students, friends, colleagues, and family as well as a biography describing his distinguished career as a mathematician at Harvard, where he held the Landon D. Clay Professorship of Mathematics. Topics examined here include recent results on induced representations, virtual groups, the Mackey Machine and crossed products, representations of Baumslag-Solitar groups, the Radon transform and the heat equation, groupoids in the study of wavelets, and quantum theory. The in-depth historical surveys of Mackey's work on representation theory, ergodic theory, and physics, together with recent developments inspired by his fundamental work will be of considerable interest to both graduate students and researchers alike.



Excursions in Harmonic Analysis Volume 1

Excursions in Harmonic Analysis  Volume 1 Author Travis D Andrews
ISBN-10 9780817683764
Release 2013-01-04
Pages 488
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The Norbert Wiener Center for Harmonic Analysis and Applications provides a state-of-the-art research venue for the broad emerging area of mathematical engineering in the context of harmonic analysis. This two-volume set consists of contributions from speakers at the February Fourier Talks (FFT) from 2006-2011. The FFT are organized by the Norbert Wiener Center in the Department of Mathematics at the University of Maryland, College Park. These volumes span a large spectrum of harmonic analysis and its applications. They are divided into the following parts: Volume I · Sampling Theory · Remote Sensing · Mathematics of Data Processing · Applications of Data Processing Volume II · Measure Theory · Filtering · Operator Theory · Biomathematics Each part provides state-of-the-art results, with contributions from an impressive array of mathematicians, engineers, and scientists in academia, industry, and government. Excursions in Harmonic Analysis: The February Fourier Talks at the Norbert Wiener Center is an excellent reference for graduate students, researchers, and professionals in pure and applied mathematics, engineering, and physics.



Introduction to Fourier Analysis and Wavelets

Introduction to Fourier Analysis and Wavelets Author Mark A. Pinsky
ISBN-10 9780821847978
Release 2002
Pages 376
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This book provides a concrete introduction to a number of topics in harmonic analysis, accessible at the early graduate level or, in some cases, at an upper undergraduate level. Necessary prerequisites to using the text are rudiments of the Lebesgue measure and integration on the real line. It begins with a thorough treatment of Fourier series on the circle and their applications to approximation theory, probability, and plane geometry (the isoperimetric theorem). Frequently, more than one proof is offered for a given theorem to illustrate the multiplicity of approaches. The second chapter treats the Fourier transform on Euclidean spaces, especially the author's results in the three-dimensional piecewise smooth case, which is distinct from the classical Gibbs-Wilbraham phenomenon of one-dimensional Fourier analysis. The Poisson summation formula treated in Chapter 3 provides an elegant connection between Fourier series on the circle and Fourier transforms on the real line, culminating in Landau's asymptotic formulas for lattice points on a large sphere. Much of modern harmonic analysis is concerned with the behavior of various linear operators on the Lebesgue spaces $L^p(\mathbb{R}^n)$. Chapter 4 gives a gentle introduction to these results, using the Riesz-Thorin theorem and the Marcinkiewicz interpolation formula. One of the long-time users of Fourier analysis is probability theory. In Chapter 5 the central limit theorem, iterated log theorem, and Berry-Esseen theorems are developed using the suitable Fourier-analytic tools. The final chapter furnishes a gentle introduction to wavelet theory, depending only on the $L_2$ theory of the Fourier transform (the Plancherel theorem). The basic notions of scale and location parameters demonstrate the flexibility of the wavelet approach to harmonic analysis. The text contains numerous examples and more than 200 exercises, each located in close proximity to the related theoretical material.



Frames and Operator Theory in Analysis and Signal Processing

Frames and Operator Theory in Analysis and Signal Processing Author David R. Larson
ISBN-10 9780821841440
Release 2008
Pages 291
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This volume contains articles based on talks presented at the Special Session Frames and Operator Theory in Analysis and Signal Processing, held in San Antonio, Texas, in January of 2006. Recently, the field of frames has undergone tremendous advancement. Most of the work in this field is focused on the design and construction of more versatile frames and frames tailored towards specific applications, e.g., finite dimensional uniform frames for cellular communication. In addition, frames are now becoming a hot topic in mathematical research as a part of many engineering applications, e.g., matching pursuits and greedy algorithms for image and signal processing. Topics covered in this book include: Application of several branches of analysis (e.g., PDEs; Fourier, wavelet, and harmonic analysis; transform techniques; data representations) to industrial and engineering problems, specifically image and signal processing. Theoretical and applied aspects of frames and wavelets. Pure aspects of operator theory emphasizing the connections to applied mathematics, frames, and signal processing. This volume will be equally attractive to pure mathematicians working on the foundations of frame and operator theory and their interconnections as it will to applied mathematicians investigating applications and to physicists and engineers employing these designs. It thus may appeal to a wide target group of researchers and may serve as a catalyst for cross-fertilization of several important areas of mathematics and the applied sciences.



Wavelet Applications in Signal and Image Processing

Wavelet Applications in Signal and Image Processing Author Akram Aldroubi
ISBN-10 0819437646
Release 2000
Pages 1108
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Wavelet Applications in Signal and Image Processing has been writing in one form or another for most of life. You can find so many inspiration from Wavelet Applications in Signal and Image Processing also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Wavelet Applications in Signal and Image Processing book for free.



Lecture Notes on Wavelet Transforms

Lecture Notes on Wavelet Transforms Author Lokenath Debnath
ISBN-10 9783319594330
Release 2017-09-05
Pages 220
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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.



Books in Print 2004 2005

Books in Print  2004 2005 Author
ISBN-10 0835246477
Release 2004
Pages
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Books in Print 2004 2005 has been writing in one form or another for most of life. You can find so many inspiration from Books in Print 2004 2005 also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Books in Print 2004 2005 book for free.



Proceedings of the International Conference Biomedical Engineering Days

Proceedings of the     International Conference Biomedical Engineering Days Author
ISBN-10 0780342429
Release 1998
Pages 146
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Proceedings of the International Conference Biomedical Engineering Days has been writing in one form or another for most of life. You can find so many inspiration from Proceedings of the International Conference Biomedical Engineering Days also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Proceedings of the International Conference Biomedical Engineering Days book for free.



Classical and Multilinear Harmonic Analysis

Classical and Multilinear Harmonic Analysis Author Camil Muscalu
ISBN-10 9781107031821
Release 2013-01-31
Pages 339
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This contemporary graduate-level text in harmonic analysis introduces the reader to a wide array of analytical results and techniques.



Bulletin of the American Mathematical Society

Bulletin of the American Mathematical Society Author
ISBN-10 UOM:49015003188589
Release 1996
Pages
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Bulletin of the American Mathematical Society has been writing in one form or another for most of life. You can find so many inspiration from Bulletin of the American Mathematical Society also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Bulletin of the American Mathematical Society book for free.