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Generalized Harmonic Analysis And Wavelet Packets
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Book Synopsis Generalized Harmonic Analysis and Wavelet Packets by : Khalifa Trimeche
Download or read book Generalized Harmonic Analysis and Wavelet Packets written by Khalifa Trimeche and published by CRC Press. This book was released on 2001-03-07 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 the text by way of a rich collection of problems and references. The results and methods in this book should be of interest to graduate and researchers working in special functions such as Fourier analysis, hypergroup and operator theories, differential equations, probability theory and mathematical physics. Background materials are given in adequate detail to enable a graduate student to proceed rapidly from the very basics of the frontier of research in the area of generalized harmonic analysis and wavelets.
Book Synopsis Generalized Wavelets and Hypergroups by : Khalifa Trimeche
Download or read book Generalized Wavelets and Hypergroups written by Khalifa Trimeche and published by Routledge. This book was released on 2019-01-22 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wavelets have recently been enjoying a period of popularity and rapid growth, and the influence of wavelet methods now extends well beyond mathematics into a number of practical fields, including statistics. The theory of hypergroups can be traced back to the turn of the century, and following its formalization in the early 1970s, the area has now
Book Synopsis On Generalized Harmonic Analysis by : Jonathan Karl Lee
Download or read book On Generalized Harmonic Analysis written by Jonathan Karl Lee and published by . This book was released on 1971 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Two Versions of Wavelets and Applications by : Abdellatif Jouini
Download or read book Two Versions of Wavelets and Applications written by Abdellatif Jouini and published by Alpha Science International, Limited. This book was released on 2006 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents a treatment and description of discrete and generalized wavelet analysis and how they can be applied to fundamental data analysis problems. This book provides a study of transmutation operators, the harmonic analysis, generalized wavelets, and generalized wavelet packets associated with differential and differential-difference operators.
Book Synopsis Wavelet Analysis on the Sphere by : Sabrine Arfaoui
Download or read book Wavelet Analysis on the Sphere written by Sabrine Arfaoui and published by Walter de Gruyter GmbH & Co KG. This book was released on 2017-03-20 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Wavelet Analysis on Local Fields of Positive Characteristic by : Biswaranjan Behera
Download or read book Wavelet Analysis on Local Fields of Positive Characteristic written by Biswaranjan Behera and published by Springer Nature. This book was released on 2022-01-01 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the theory of wavelets on local fields of positive characteristic. The discussion starts with a thorough introduction to topological groups and local fields. It then provides a proof of the existence and uniqueness of Haar measures on locally compact groups. It later gives several examples of locally compact groups and describes their Haar measures. The book focuses on multiresolution analysis and wavelets on a local field of positive characteristic. It provides characterizations of various functions associated with wavelet analysis such as scaling functions, wavelets, MRA-wavelets and low-pass filters. Many other concepts which are discussed in details are biorthogonal wavelets, wavelet packets, affine and quasi-affine frames, MSF multiwavelets, multiwavelet sets, generalized scaling sets, scaling sets, unconditional basis properties of wavelets and shift invariant spaces.
Book Synopsis Wavelet Analysis by : Sabrine Arfaoui
Download or read book Wavelet Analysis written by Sabrine Arfaoui and published by CRC Press. This book was released on 2021-04-20 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Abstract Harmonic Analysis of Continuous Wavelet Transforms by : Hartmut Führ
Download or read book Abstract Harmonic Analysis of Continuous Wavelet Transforms written by Hartmut Führ and published by Springer. This book was released on 2005-01-17 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a systematic discussion of wavelet-type inversion formulae based on group representations, and their close connection to the Plancherel formula for locally compact groups. The connection is demonstrated by the discussion of a toy example, and then employed for two purposes: Mathematically, it serves as a powerful tool, yielding existence results and criteria for inversion formulae which generalize many of the known results. Moreover, the connection provides the starting point for a – reasonably self-contained – exposition of Plancherel theory. Therefore, the volume can also be read as a problem-driven introduction to the Plancherel formula.
Book Synopsis Harmonic, Wavelet and P-Adic Analysis by : N. M. Chuong
Download or read book Harmonic, Wavelet and P-Adic Analysis written by N. M. Chuong and published by World Scientific. This book was released on 2007 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: The mutual influence between mathematics and science and technology is becoming more and more widespread with profound connections among them being discovered. In particular, important connections between harmonic analysis, wavelet analysis and p-adic analysis have been found recently. This volume reports these findings and guides the reader towards the latest areas for further research. It is divided into two parts: harmonic, wavelet and p-adic analysis and p-adic and stochastic analysis.
Book Synopsis Banach Algebras and Their Applications by : Anthony To-Ming Lau
Download or read book Banach Algebras and Their Applications written by Anthony To-Ming Lau and published by American Mathematical Soc.. This book was released on 2004 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume is from the international conference on Banach Algebras and Their Applications held at the University of Alberta (Edmonton). It contains a collection of refereed research papers and high-level expository articles that offer a panorama of Banach algebra theory and its manifold applications. Topics in the book range from - theory to abstract harmonic analysis to operator theory. It is suitable for graduate students and researchers interested in Banach algebras.
Book Synopsis Excursions in Harmonic Analysis, Volume 6 by : Matthew Hirn
Download or read book Excursions in Harmonic Analysis, Volume 6 written by Matthew Hirn and published by Springer Nature. This book was released on 2021-09-01 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: John J. Benedetto has had a profound influence not only on the direction of harmonic analysis and its applications, but also on the entire community of people involved in the field. The chapters in this volume – compiled on the occasion of his 80th birthday – are written by leading researchers in the field and pay tribute to John’s many significant and lasting achievements. Covering a wide range of topics in harmonic analysis and related areas, these chapters are organized into four main parts: harmonic analysis, wavelets and frames, sampling and signal processing, and compressed sensing and optimization. An introductory chapter also provides a brief overview of John’s life and mathematical career. This volume will be an excellent reference for graduate students, researchers, and professionals in pure and applied mathematics, engineering, and physics.
Book Synopsis Wiener's Generalized Harmonic Analysis and Waveform Design by : Somantika Datta
Download or read book Wiener's Generalized Harmonic Analysis and Waveform Design written by Somantika Datta and published by . This book was released on 2007 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: Further, for any given positive and even function f defined on the integers that is convex and decreasing to zero on the positive integers, waveforms have been constructed whose autocorrelation is f. The waveforms constructed are real and bounded with a bound that depends on the value of f at zero.
Book Synopsis GENERALIZED INTEGRAL TRANSFORMS OF DISTRIBUTIONS by : Dr. B. B. Waphare
Download or read book GENERALIZED INTEGRAL TRANSFORMS OF DISTRIBUTIONS written by Dr. B. B. Waphare and published by Lulu Publication. This book was released on 2021-02-03 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1.1 Introduction In recent years, integral transforms have become essential working tools of every engineer and applied scientist. The Laplace transform, which undoubtedly is the most familiar example, is being suited to solving boundary value problems. The classical methods of solution of initial and boundary value problems in physics and engineering sciences have their roots in Fourier’s pioneering work. An alternative approach through integral transforms methods emerged primarily through Heaviside’s efforts on operational techniques. In addition to being of great theoretical interest to mathematicians, integral transform methods have been found to provide easy and effective ways of solving a variety of problems arising in engineering and physical science. The use of integral transforms is somewhat analogous to that of logarithms. That is, a problem involving multiplication or division can be reduced to one involving simple processes addition or subtraction by taking logarithms. For almost two centuries the method of function transformations has been used successfully in solving many problems in engineering, mathematical physics and applied mathematics. Function transformations include, but are not limited to the well-known technique of linear integral transformations. A function transformation simply means a mathematical operation through which a real or complex valued function f is transformed into an other F, or into a sequence of numbers, or more generally into a set of data. Since its birth in the 1780’s in the work of the great mathematician Laplace, on probability theory, the theory of function transformations has flourished and continues to do so. In the last few years, in particular, it has received a great impetus from the advent of wavelets. Not only is the wavelet transform an example of how practical function transformations can be, but it is also an example of a transformation that has gone beyond what it was designed to do as a technique. It has contributed to the development of modern mathematical analysis just as the Fourier transformation contributed to the advancement of classical analysis in the earliest years of the nineteenth century.
Author :Elena M. Fernandez-Berdaguer Publisher :Springer Science & Business Media ISBN 13 :9780817639532 Total Pages :370 pages Book Rating :4.6/5 (395 download)
Book Synopsis Wavelet Theory and Harmonic Analysis in Applied Sciences by : Elena M. Fernandez-Berdaguer
Download or read book Wavelet Theory and Harmonic Analysis in Applied Sciences written by Elena M. Fernandez-Berdaguer and published by Springer Science & Business Media. This book was released on 1997 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: Containing 12 invited chapters addressing applications and interactions between wavelet theory and scientific, medical and geophysical problems, this volume includes coverage of: spectral analysis; EGG signals; and numerical modelling of Maxwell's equation.
Book Synopsis Trends in African Diaspora Mathematics Research by :
Download or read book Trends in African Diaspora Mathematics Research written by and published by Nova Publishers. This book was released on 2007 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: The African Diaspora presents mathematical research of highest rank. It offers a forum for mathematical research with some emphasis on the contributions of all African mathematicians and the rich connections between all African universities and those of other continents. This includes the Denjoy integral, equivalent cohomology, semi-linear equations, rational approximants, automorphic solutions and characterisations of mulitvariate exponential families.
Book Synopsis Wave Packet Analysis by : Christoph Thiele
Download or read book Wave Packet Analysis written by Christoph Thiele and published by American Mathematical Soc.. This book was released on with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: The concept of ''wave packet analysis'' originates in Carleson's famous proof of almost everywhere convergence of Fourier series of $L2$ functions. It was later used by Lacey and Thiele to prove bounds on the bilinear Hilbert transform. For quite some time, Carleson's wave packet analysis was thought to be an important idea, but that it had limited applications. But in recent years, it has become clear that this is an important tool for a number of other applications. This book isan introduction to these tools. It emphasizes the classical successes (Carleson's theorem and the Hilbert transform) in the main development. However, the book closes with a dedicated chapter on more recent results. Carleson's original theorem is sometimes cited as one of the most importantdevelopments of 20th century harmonic analysis. The set of ideas stemming from his proof is now seen as an essential element in modern harmonic analysis. Indeed, Thiele won the Salem prize jointly with Michael Lacey for work in this area. The book gives a nice survey of important material, such as an overview of the theory of singular integrals and wave packet analysis itself. There is a separate chapter on ''further developments'', which gives a broader view on the subject, though it does notexhaust all ongoing developments.
Book Synopsis Four Short Courses on Harmonic Analysis by : Brigitte Forster
Download or read book Four Short Courses on Harmonic Analysis written by Brigitte Forster and published by Springer Science & Business Media. This book was released on 2010 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
