Research Catalog

A first course on wavelets

Title: A first course on wavelets / Eugenio Hernández, Guido Weiss.
Author: Hernández, Eugenio, 1954-
Publication: Boca Raton : CRC Press, c1996.

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Details

Additional Authors

Weiss, Guido, 1928-

Description

489 p. : ill.; 24 cm.

Summary

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.

Series Statement

Studies in advanced mathematics

Uniform Title

Studies in advanced mathematics.

Subject

Wavelets (Mathematics)

Bibliography (note)

Includes bibliographical references and indexes.

Contents

1. Bases for L[superscript 2](R) -- 2. Multiresolution analysis and the construction of wavelets -- 3. Band-limited wavelets -- 4. Other constructions of wavelets -- 5. Representation of functions by wavelets -- 6. Characterizations of function spaces using wavelets -- 7. Characterizations in the theory of wavelets -- 8. Frames -- 9. Discrete transforms and algorithms.

Call Number

JSE 98-203

ISBN

0849382742 (alk. paper)
9780849382741 (alk. paper)

LCCN

96027111

OCLC

35033582

Author

Hernández, Eugenio, 1954-

Title

A first course on wavelets / Eugenio Hernández, Guido Weiss.

Imprint

Boca Raton : CRC Press, c1996.

Series

Studies in advanced mathematics

Studies in advanced mathematics.

Bibliography

Includes bibliographical references and indexes.

Added Author

Weiss, Guido, 1928-

Research Call Number

JSE 98-203

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