A First Course on Wavelets (Studies in Advanced Mathematics) - Tapa dura

Hernandez, Eugenio; Weiss, Guido

 
9780849382741: A First Course on Wavelets (Studies in Advanced Mathematics)
Tapa dura
ISBN 10: 0849382742 ISBN 13: 9780849382741
Editorial: CRC Press, 1996

Sinopsis

Assuming minimal prerequisites, A First Course on Wavelets is an outstanding introduction to the basic properties of wavelets, from background mathematics to powerful applications. The authors adopt the approach that all orthonormal wavelets are completely characterized by two simple equations, and that most properties and constructions of wavelets can be developed using these two equations. They detail these elementary methods for constructing wavelets and present several new classes of wavelets. The text includes many graphic displays of constructed wavelets and explores applications to harmonic analysis and other branches of analysis.

"Sinopsis" puede pertenecer a otra edición de este libro.

Acerca del autor

Eugenio Hernandez

De la contraportada

This unique book is an excellent introduction to the basic properties of wavelets. The fundamental construction of these functions by means of "multiresolution analyses" is presented; in particular, this method is used for introducing the spline wavelets and the compactly supported wavelets. An important feature of this book, however, is the use of the Fourier transform for studying wavelets on the real line. A simple characterization of all wavelets is presented which is most useful for the construction of new families of wavelets. This technique can also be used for obtaining characterizations of low pass filters and scaling functions. Another feature is the use of wavelets for representing those function spaces that are most often encountered in analysis: the Lebesgue spaces, Hardy spaces, and more generally, the Besov spaces, the Sobolev, and the Lipschitz spaces. Other topics, some related to applications, are also included: the Fast Fourier Transform, wavelet packets, frames, local cosine and sine bases and their discrete versions are just some examples.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
CRC Press
Año de publicación
1996
Idioma
Inglés
ISBN 10 
0849382742
ISBN 13 
9780849382741
Encuadernación
Tapa dura
Número de edición
1
Número de páginas
512
Contacto del fabricante
CRC Press
https://www.routledge-ny.com

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