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Generalized Harmonic Analysis and Wavelet Packets

2001-03-07 Mathematics
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Release : 2001-03-07
Genre : Mathematics
Kind : eBook
Book Rating : 290/5 ( reviews)

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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. This book was released on 2001-03-07. 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.

Generalized Wavelets and Hypergroups

2019-01-22 Mathematics
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Release : 2019-01-22
Genre : Mathematics
Kind : eBook
Book Rating : 782/5 ( reviews)

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Book Synopsis Generalized Wavelets and Hypergroups by : Khalifa Trimeche

Download or read book Generalized Wavelets and Hypergroups written by Khalifa Trimeche. This book was released on 2019-01-22. 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

On Generalized Harmonic Analysis

1971
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Release : 1971
Genre :
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis On Generalized Harmonic Analysis by : Jonathan Karl Lee

Download or read book On Generalized Harmonic Analysis written by Jonathan Karl Lee. This book was released on 1971. Available in PDF, EPUB and Kindle. Book excerpt:

Two Versions of Wavelets and Applications

2006 Mathematics
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Release : 2006
Genre : Mathematics
Kind : eBook
Book Rating : /5 ( reviews)

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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. This book was released on 2006. 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.

Wavelet Analysis on the Sphere

2017-03-20 Mathematics
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Release : 2017-03-20
Genre : Mathematics
Kind : eBook
Book Rating : 243/5 ( reviews)

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Book Synopsis Wavelet Analysis on the Sphere by : Sabrine Arfaoui

Download or read book Wavelet Analysis on the Sphere written by Sabrine Arfaoui. This book was released on 2017-03-20. 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.

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