Generalized Harmonic Analysis And Wavelet Packets


Generalized Harmonic Analysis And Wavelet Packets
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Generalized Harmonic Analysis And Wavelet Packets


Generalized Harmonic Analysis And Wavelet Packets
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Author : Khalifa Trimeche
language : en
Publisher: CRC Press
Release Date : 2001-03-07

Generalized Harmonic Analysis And Wavelet Packets written by Khalifa Trimeche and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-03-07 with Mathematics categories.


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.



Generalized Harmonic Analysis And Wavelet Packets


Generalized Harmonic Analysis And Wavelet Packets
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Author : Khalifa Trimeche
language : en
Publisher: CRC Press
Release Date : 2001-03-07

Generalized Harmonic Analysis And Wavelet Packets written by Khalifa Trimeche and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-03-07 with Mathematics categories.


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



Two Versions Of Wavelets And Applications


Two Versions Of Wavelets And Applications
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Author : Abdellatif Jouini
language : en
Publisher: Alpha Science International, Limited
Release Date : 2006

Two Versions Of Wavelets And Applications written by Abdellatif Jouini and has been published by Alpha Science International, Limited this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.


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.



An Introduction To Wavelet Analysis


An Introduction To Wavelet Analysis
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Author : David F. Walnut
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-11

An Introduction To Wavelet Analysis written by David F. Walnut and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-11 with Computers categories.


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.



Wavelet Analysis On Local Fields Of Positive Characteristic


Wavelet Analysis On Local Fields Of Positive Characteristic
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Author : Biswaranjan Behera
language : en
Publisher: Springer Nature
Release Date : 2022-01-01

Wavelet Analysis On Local Fields Of Positive Characteristic written by Biswaranjan Behera and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-01 with Mathematics categories.


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.



An Introduction To Wavelets


An Introduction To Wavelets
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Author : Charles K. Chui
language : en
Publisher: Elsevier
Release Date : 2016-06-03

An Introduction To Wavelets written by Charles K. Chui and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-03 with Science categories.


Wavelet Analysis and its Applications, Volume 1: An Introduction to Wavelets provides an introductory treatise on wavelet analysis with an emphasis on spline-wavelets and time-frequency analysis. This book is divided into seven chapters. Chapter 1 presents a brief overview of the subject, including classification of wavelets, integral wavelet transform for time-frequency analysis, multi-resolution analysis highlighting the important properties of splines, and wavelet algorithms for decomposition and reconstruction of functions. The preliminary material on Fourier analysis and signal theory is covered in Chapters 2 and 3. Chapter 4 covers the introductory study of cardinal splines, while Chapter 5 describes a general approach to the analysis and construction of scaling functions and wavelets. Spline-wavelets are deliberated in Chapter 6. The last chapter is devoted to an investigation of orthogonal wavelets and wavelet packets. This volume serves as a textbook for an introductory one-semester course on “wavelet analysis for upper-division undergraduate or beginning graduate mathematics and engineering students.



Wavelet Theory And Harmonic Analysis In Applied Sciences


Wavelet Theory And Harmonic Analysis In Applied Sciences
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Author : Carlos E. D'Attellis
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Wavelet Theory And Harmonic Analysis In Applied Sciences written by Carlos E. D'Attellis and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Computers categories.


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.



Wavelet Analysis On The Sphere


Wavelet Analysis On The Sphere
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Author : Sabrine Arfaoui
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2017-03-20

Wavelet Analysis On The Sphere written by Sabrine Arfaoui and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-20 with Mathematics categories.


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.



Four Short Courses On Harmonic Analysis


Four Short Courses On Harmonic Analysis
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Author : Brigitte Forster
language : en
Publisher: Springer Science & Business Media
Release Date : 2010

Four Short Courses On Harmonic Analysis written by Brigitte Forster and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.


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.



Banach Algebras And Their Applications


Banach Algebras And Their Applications
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Author : Anthony To-Ming Lau
language : en
Publisher: American Mathematical Soc.
Release Date : 2004

Banach Algebras And Their Applications written by Anthony To-Ming Lau and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.


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 $K$-theory to abstract harmonic analysis to operator theory. It is suitable for graduate students and researchers interested in Banach algebras.