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Lecture notes on wavelet transforms

Debnath, Lokenath.

Lecture notes on wavelet transforms

Record Type:	Electronic resources : Monograph/item
Title/Author:	Lecture notes on wavelet transformsby Lokenath Debnath, Firdous A. Shah.
Author:	Debnath, Lokenath.
other author:	Shah, Firdous A.
Published:	Cham :Springer International Publishing :2017.
Description:	xii, 220 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Wavelets (Mathematics)
Online resource:	http://dx.doi.org/10.1007/978-3-319-59433-0
ISBN:	9783319594330$q(electronic bk.)

Lecture notes on wavelet transforms
Debnath, Lokenath.

Lecture notes on wavelet transforms[electronic resource] /by Lokenath Debnath, Firdous A. Shah. - Cham :Springer International Publishing :2017. - xii, 220 p. :ill. (some col.), digital ;24 cm. - Compact textbooks in mathematics,2296-4568. - Compact textbooks in mathematics..

The Fourier Transform -- The Time-Frequency Analysis -- The Wavelet Transforms -- Construction of Wavelets via MRA -- Elongations of MRA Based Wavelets.

This book provides a systematic exposition of the basic ideas and results of wavelet analysis suitable for mathematicians, scientists, and engineers alike. The primary goal of this text is to show how different types of wavelets can be constructed, illustrate why they are such powerful tools in mathematical analysis, and demonstrate their use in applications. It also develops the required analytical knowledge and skills on the part of the reader, rather than focus on the importance of more abstract formulation with full mathematical rigor. These notes differs from many textbooks with similar titles in that a major emphasis is placed on the thorough development of the underlying theory before introducing applications and modern topics such as fractional Fourier transforms, windowed canonical transforms, fractional wavelet transforms, fast wavelet transforms, spline wavelets, Daubechies wavelets, harmonic wavelets and non-uniform wavelets. The selection, arrangement, and presentation of the material in these lecture notes have carefully been made based on the authors' teaching, research and professional experience. Drafts of these lecture notes have been used successfully by the authors in their own courses on wavelet transforms and their applications at the University of Texas Pan-American and the University of Kashmir in India.

ISBN: 9783319594330$q(electronic bk.)

Standard No.: 10.1007/978-3-319-59433-0doiSubjects--Topical Terms:

182734
Wavelets (Mathematics)

LC Class. No.: QA403.3

Dewey Class. No.: 515.2433

Lecture notes on wavelet transforms
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505 0 $a The Fourier Transform -- The Time-Frequency Analysis -- The Wavelet Transforms -- Construction of Wavelets via MRA -- Elongations of MRA Based Wavelets.
520 $a This book provides a systematic exposition of the basic ideas and results of wavelet analysis suitable for mathematicians, scientists, and engineers alike. The primary goal of this text is to show how different types of wavelets can be constructed, illustrate why they are such powerful tools in mathematical analysis, and demonstrate their use in applications. It also develops the required analytical knowledge and skills on the part of the reader, rather than focus on the importance of more abstract formulation with full mathematical rigor. These notes differs from many textbooks with similar titles in that a major emphasis is placed on the thorough development of the underlying theory before introducing applications and modern topics such as fractional Fourier transforms, windowed canonical transforms, fractional wavelet transforms, fast wavelet transforms, spline wavelets, Daubechies wavelets, harmonic wavelets and non-uniform wavelets. The selection, arrangement, and presentation of the material in these lecture notes have carefully been made based on the authors' teaching, research and professional experience. Drafts of these lecture notes have been used successfully by the authors in their own courses on wavelet transforms and their applications at the University of Texas Pan-American and the University of Kashmir in India.
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