Lecture Notes on Wavelet Transforms (Paperback)

Lokenath Debnath

ISBN 10: 331959432X / ISBN 13: 9783319594323

Verlag: Birkhauser Verlag Ag, Basel, 2017

Beschreibung

Paperback. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Bestandsnummer des Verkäufers 9783319594323

Bibliografische Details

• Titel: Lecture Notes on Wavelet Transforms (Paperback)
• Verlag: Birkhauser Verlag Ag, Basel
• Veröffentlichungsdatum: 2017
• Sprache: Englisch
• ISBN-10: 331959432X
• ISBN-13: 9783319594323
• Bindung: Paperback
• Ausgabe: 1. Auflage
• Zustand: new

Über diesen Titel

Inhaltsangabe

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. 

Über die Autorin bzw. den Autor

Lokenath Debnath is a Professor of Mathematics at the University of Texas–Pan American.

Firdous A. Shah is a Professor of Mathematics at the University of Kashmir in India.