[PDF] Generalized Harmonic Analysis And Wavelet Packets eBook

Author : Khalifa Trimeche
Publisher : CRC Press
Page : 322 pages
File Size : 36,98 MB
Release : 2001-03-07
Category : Mathematics
ISBN : 9789056993290

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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.

Author : Khalifa Trimeche
Publisher : Routledge
Page : 364 pages
File Size : 26,21 MB
Release : 2019-01-22
Category : Mathematics
ISBN : 1351445790

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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

Author : Abdellatif Jouini
Publisher : Alpha Science International, Limited
Page : 240 pages
File Size : 43,6 MB
Release : 2006
Category : Mathematics
ISBN :

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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.

Author : Sabrine Arfaoui
Publisher : Walter de Gruyter GmbH & Co KG
Page : 186 pages
File Size : 28,18 MB
Release : 2017-03-20
Category : Mathematics
ISBN : 3110481243

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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.

Author : Biswaranjan Behera
Publisher : Springer Nature
Page : 345 pages
File Size : 39,28 MB
Release : 2022-01-01
Category : Mathematics
ISBN : 9811678812

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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.

Author : Sabrine Arfaoui
Publisher : CRC Press
Page : 255 pages
File Size : 14,8 MB
Release : 2021-04-20
Category : Mathematics
ISBN : 1000369544

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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

Author : Hartmut Führ
Publisher : Springer
Page : 207 pages
File Size : 14,40 MB
Release : 2005-01-17
Category : Mathematics
ISBN : 3540315527

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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.

Author : N. M. Chuong
Publisher : World Scientific
Page : 393 pages
File Size : 23,25 MB
Release : 2007
Category : Mathematics
ISBN : 9812770704

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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.

Author : Anthony To-Ming Lau
Publisher : American Mathematical Soc.
Page : 362 pages
File Size : 33,19 MB
Release : 2004
Category : Mathematics
ISBN : 0821834711

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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.