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Generalized Wavelets and Hypergroups

1997-10-22 Mathematics
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Release : 1997-10-22
Genre : Mathematics
Kind : eBook
Book Rating : 800/5 ( 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 1997-10-22. 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 reached maturity. Hypergroups provide a very general and flexible context in which many of the classical techniques of harmonic analysis can be fruitfully employed. It is, therefore, natural to seek to exploit the newer techniques of wavelet analysis in this area. This text addresses itself to this challenge in some depth, providing a thorough and authoritative account of wavelet methods applied to hypergroups.

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

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.

Harmonic Analysis On Hypergroups: Approximation And Stochastic Sequences

2022-12-06 Mathematics
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Release : 2022-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 212/5 ( reviews)

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Book Synopsis Harmonic Analysis On Hypergroups: Approximation And Stochastic Sequences by : Rupert Lasser

Download or read book Harmonic Analysis On Hypergroups: Approximation And Stochastic Sequences written by Rupert Lasser. This book was released on 2022-12-06. Available in PDF, EPUB and Kindle. Book excerpt: The book aims at giving a monographic presentation of the abstract harmonic analysis of hypergroups, while combining it with applied topics of spectral analysis, approximation by orthogonal expansions and stochastic sequences. Hypergroups are locally compact Hausdorff spaces equipped with a convolution, an involution and a unit element. Related algebraic structures had already been studied by Frobenius around 1900. Their axiomatic characterisation in harmonic analysis was later developed in the 1970s. Hypergoups naturally emerge in seemingly different application areas as time series analysis, probability theory and theoretical physics.The book presents harmonic analysis on commutative and polynomial hypergroups as well as weakly stationary random fields and sequences thereon. For polynomial hypergroups also difference equations and stationary sequences are considered. At greater extent than in the existing literature, the book compiles a rather comprehensive list of hypergroups, in particular of polynomial hypergroups. With an eye on readers at advanced undergraduate and graduate level, the proofs are generally worked out in careful detail. The bibliography is extensive.

Banach Algebras and Their Applications

2004 Mathematics
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Release : 2004
Genre : Mathematics
Kind : eBook
Book Rating : 711/5 ( reviews)

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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. This book was released on 2004. 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.

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