Download or read book Wavelets and Singular Integrals on Curves and Surfaces written by Guy David and published by Springer. This book was released on 2006-11-14 with total page 119 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wavelets are a recently developed tool for the analysis and synthesis of functions; their simplicity, versatility and precision makes them valuable in many branches of applied mathematics. The book begins with an introduction to the theory of wavelets and limits itself to the detailed construction of various orthonormal bases of wavelets. A second part centers on a criterion for the L2-boundedness of singular integral operators: the T(b)-theorem. It contains a full proof of that theorem. It contains a full proof of that theorem, and a few of the most striking applications (mostly to the Cauchy integral). The third part is a survey of recent attempts to understand the geometry of subsets of Rn on which analogues of the Cauchy kernel define bounded operators. The book was conceived for a graduate student, or researcher, with a primary interest in analysis (and preferably some knowledge of harmonic analysis and seeking an understanding of some of the new "real-variable methods" used in harmonic analysis.

Download or read book Wavelets and Singular Integrals on Curves and Surfaces written by Guy David and published by . This book was released on 1991 with total page 107 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Clifford Wavelets Singular Integrals and Hardy Spaces written by Marius Mitrea and published by Springer. This book was released on 2006-11-15 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book discusses the extensions of basic Fourier Analysis techniques to the Clifford algebra framework. Topics covered: construction of Clifford-valued wavelets, Calderon-Zygmund theory for Clifford valued singular integral operators on Lipschitz hyper-surfaces, Hardy spaces of Clifford monogenic functions on Lipschitz domains. Results are applied to potential theory and elliptic boundary value problems on non-smooth domains. The book is self-contained to a large extent and well-suited for graduate students and researchers in the areas of wavelet theory, Harmonic and Clifford Analysis. It will also interest the specialists concerned with the applications of the Clifford algebra machinery to Mathematical Physics.

Download or read book Clifford Algebras in Analysis and Related Topics written by John Ryan and published by CRC Press. This book was released on 2018-03-09 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new book contains the most up-to-date and focused description of the applications of Clifford algebras in analysis, particularly classical harmonic analysis. It is the first single volume devoted to applications of Clifford analysis to other aspects of analysis. All chapters are written by world authorities in the area. Of particular interest is the contribution of Professor Alan McIntosh. He gives a detailed account of the links between Clifford algebras, monogenic and harmonic functions and the correspondence between monogenic functions and holomorphic functions of several complex variables under Fourier transforms. He describes the correspondence between algebras of singular integrals on Lipschitz surfaces and functional calculi of Dirac operators on these surfaces. He also discusses links with boundary value problems over Lipschitz domains. Other specific topics include Hardy spaces and compensated compactness in Euclidean space; applications to acoustic scattering and Galerkin estimates; scattering theory for orthogonal wavelets; applications of the conformal group and Vahalen matrices; Newmann type problems for the Dirac operator; plus much, much more! Clifford Algebras in Analysis and Related Topics also contains the most comprehensive section on open problems available. The book presents the most detailed link between Clifford analysis and classical harmonic analysis. It is a refreshing break from the many expensive and lengthy volumes currently found on the subject.

Download or read book Anisotropic Hardy Spaces and Wavelets written by Marcin Bownik and published by American Mathematical Soc.. This book was released on 2003 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: Investigates the anisotropic Hardy spaces associated with very general discrete groups of dilations. This book includes the classical isotropic Hardy space theory of Fefferman and Stein and parabolic Hardy space theory of Calderon and Torchinsky.

Download or read book Different Perspectives on Wavelets written by Ingrid Daubechies and published by American Mathematical Soc.. This book was released on 2016-04-28 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: The wavelet transform can be seen as a synthesis of ideas that have emerged since the 1960s in mathematics, physics, and electrical engineering. The basic idea is to use a family of ``building blocks'' to represent in an efficient way the object at hand, be it a function, an operator, a signal, or an image. The building blocks themselves come in different ``sizes'' which can describe different features with different resolutions. The papers in this book attempt to give some theoretical and technical shape to this intuitive picture of wavelets and their uses. The papers collected here were prepared for an AMS Short Course on Wavelets and Applications, held at the Joint Mathematics Meetings in San Antonio in January 1993. Here readers will find general background on wavelets as well as more detailed views of specific techniques and applications. With contributions by some of the top experts in the field, this book provides an excellent introduction to this important and growing area of research.

Download or read book Wavelets in Geophysics written by Efi Foufoula-Georgiou and published by Elsevier. This book was released on 2014-06-28 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applications of wavelet analysis to the geophysical sciences grew from Jean Morlet's work on seismic signals in the 1980s. Used to detect signals against noise, wavelet analysis excels for transients or for spatiallylocalized phenomena. In this fourth volume in the renown WAVELET ANALYSIS AND ITS APPLICATIONS Series, Efi Foufoula-Georgiou and Praveen Kumar begin with a self-contained overview of the nature, power, and scope of wavelet transforms. The eleven originalpapers that follow in this edited treatise show how geophysical researchers are using wavelets to analyze such diverse phenomena as intermittent atmospheric turbulence, seafloor bathymetry, marine and other seismic data, and flow in aquifiers. Wavelets in Geophysics will make informative reading for geophysicists seeking an up-to-date account of how these tools are being used as well as for wavelet researchers searching for ideas for applications, or even new points of departure. Includes twelve original papers written by experts in the geophysical sciences Provides a self-contained overview of the nature, power, and scope of wavelet transforms Presents applications of wavelets to geophysical phenomena such as: The sharp events of seismic data, Long memory processes, such as fluctuation in the level of the Nile, A structure preserving decomposition of turbulence signals

Download or read book Approximation Theory Wavelets and Applications written by S.P. Singh and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approximation Theory, Wavelets and Applications draws together the latest developments in the subject, provides directions for future research, and paves the way for collaborative research. The main topics covered include constructive multivariate approximation, theory of splines, spline wavelets, polynomial and trigonometric wavelets, interpolation theory, polynomial and rational approximation. Among the scientific applications were de-noising using wavelets, including the de-noising of speech and images, and signal and digital image processing. In the area of the approximation of functions the main topics include multivariate interpolation, quasi-interpolation, polynomial approximation with weights, knot removal for scattered data, convergence theorems in Padé theory, Lyapunov theory in approximation, Neville elimination as applied to shape preserving presentation of curves, interpolating positive linear operators, interpolation from a convex subset of Hilbert space, and interpolation on the triangle and simplex. Wavelet theory is growing extremely rapidly and has applications which will interest readers in the physical, medical, engineering and social sciences.

Download or read book The World According to Wavelets written by Barbara Burke Hubbard and published by CRC Press. This book was released on 1998-05-30 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: This best-selling book introduces a broad audience including scientists and engineers working in a variety of fields as well as mathematicians from other subspecialties to one of the most active new areas of applied mathematics and the story of its discovery and development. Organized in hypertext fashion, the book tells a story of scientific dis

Download or read book Wavelets written by Yves Meyer and published by Cambridge University Press. This book was released on 1997 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: A classic exposition of the theory of wavelets from two of the subject's leading experts.

Download or read book Analysis of and on Uniformly Rectifiable Sets written by Guy David and published by American Mathematical Soc.. This book was released on 1993 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: * The only available reference on uniform rectifiabilityThe text covers the understanding of uniform rectifiability of a given set in terms of the approximate behaviour of the set at most locations and scales.

Download or read book Wavelets written by T. H. Koornwinder and published by World Scientific. This book was released on 1993-01-01 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Progress in Wavelet Analysis and Applications written by Yves Meyer and published by Atlantica Séguier Frontières. This book was released on 1993 with total page 808 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Singular Sets of Minimizers for the Mumford Shah Functional written by Guy David and published by Springer Science & Business Media. This book was released on 2006-03-10 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Mumford-Shah functional was introduced in the 1980s as a tool for automatic image segmentation, but its study gave rise to many interesting questions of analysis and geometric measure theory. The main object under scrutiny is a free boundary K where the minimizer may have jumps. The book presents an extensive description of the known regularity properties of the singular sets K, and the techniques to get them. It is largely self-contained, and should be accessible to graduate students in analysis. The core of the book is composed of regularity results that were proved in the last ten years and which are presented in a more detailed and unified way.

Download or read book Wavelets and Operators Volume 1 written by Yves Meyer and published by Cambridge University Press. This book was released on 1992 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: The definite mathematical treatment of this important area, written by one of the founders of the field.

Download or read book From Operator Theory to Orthogonal Polynomials Combinatorics and Number Theory written by Fritz Gesztesy and published by Springer Nature. This book was released on 2021-11-11 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main topics of this volume, dedicated to Lance Littlejohn, are operator and spectral theory, orthogonal polynomials, combinatorics, number theory, and the various interplays of these subjects. Although the event, originally scheduled as the Baylor Analysis Fest, had to be postponed due to the pandemic, scholars from around the globe have contributed research in a broad range of mathematical fields. The collection will be of interest to both graduate students and professional mathematicians. Contributors are: G.E. Andrews, B.M. Brown, D. Damanik, M.L. Dawsey, W.D. Evans, J. Fillman, D. Frymark, A.G. García, L.G. Garza, F. Gesztesy, D. Gómez-Ullate, Y. Grandati, F.A. Grünbaum, S. Guo, M. Hunziker, A. Iserles, T.F. Jones, K. Kirsten, Y. Lee, C. Liaw, F. Marcellán, C. Markett, A. Martinez-Finkelshtein, D. McCarthy, R. Milson, D. Mitrea, I. Mitrea, M. Mitrea, G. Novello, D. Ong, K. Ono, J.L. Padgett, M.M.M. Pang, T. Poe, A. Sri Ranga, K. Schiefermayr, Q. Sheng, B. Simanek, J. Stanfill, L. Velázquez, M. Webb, J. Wilkening, I.G. Wood, M. Zinchenko.

Download or read book Wavelets An Elementary Treatment of Theory and Applications written by Tom H Koornwinder and published by World Scientific. This book was released on 1993-06-24 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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